Order and Randomness in Partial Differential Equations
August 30 - December 8, 2023
The program focuses on three separate, yet connected, areas: fluid motion, integrable systems and stochastic partial differential equations.
Generally, it’s impossible to solve nonlinear partial differential equations explicitly. However, certain nonlinear equations have remarkable properties which allow for explicit solutions or at least for the equations to be solved using only linear operations. These equations are called completely integrable and can be seen as generalisations of integrable systems in classical mechanics. Many examples of integrable systems appear specifically in the context of fluid mechanics and thus allows for a precise description of the fluid motion in certain cases. On the other hand, one of the hallmarks of fluid motions is turbulence, in which the fluid flow is chaotic, and one can only hope to get a good grasp by studying statistical properties of the solutions rather than individual solution trajectories.
The program will promote cross-fertilization between these different areas which will hopefully lead to new ideas and progress.
During the program, there will be two workshops with thematically focused talks:
September 11 – 15, 2023: Water Waves and Integrable Systems
Organizers: Jean-Claude Saut, Catherine Sulem and Erik Wahlén.
Dedicated to the memory of Thomas Kappeler.
September 4 – 6, mini course by Patrick Gérard, Université Paris-Saclay: Hardy spaces and the zero dispersion limit for the Benjamin-Ono equation
September 7 – 8, mini course by Massimiliano Berti, SISSA: Hamiltonian methods for the water wave problem
November 27 – December 1, 2023: Stochastic Flows
Organizers: Helge Holden, Susanne Solem and José A. Carrillo.
November 20 – 24: Mini course by José A. Carrillo, University of Oxford.
On September 18 – 22, there will be a mini course with Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects.
Seminars
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Mini course w. Patrick Gérard: Hardy spaces and the zero dispersion limit for the Benjamin-Ono equation September 04 10:00 - 11:30 -
Mini course w. Patrick Gérard: Hardy spaces and the zero dispersion limit for the Benjamin-Ono equation September 05 10:00 - 11:30 Mini course w. Patrick Gérard: Hardy spaces and the zero dispersion limit for the Benjamin-Ono equation
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Mini course w. Patrick Gérard: Hardy spaces and the zero dispersion limit for the Benjamin-Ono equation September 06 10:00 - 11:30 Mini course w. Patrick Gérard: Hardy spaces and the zero dispersion limit for the Benjamin-Ono equation
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Mini course w. Massimiliano Berti: Hamiltonian methods for the water wave problem September 07 14:00 - 15:30 Mini course w. Massimiliano Berti: Hamiltonian methods for the water wave problem
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Mini course w. Massimiliano Berti: Hamiltonian methods for the water wave problem September 08 10:00 - 11:30 Mini course w. Massimiliano Berti: Hamiltonian methods for the water wave problem
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Mini course w. Massimiliano Berti: Hamiltonian methods for the water wave problem September 08 14:00 - 15:30 Mini course w. Massimiliano Berti: Hamiltonian methods for the water wave problem
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Workshop: A Nekhoroshev theorem for some (smoothing) perturbations of the Benjamin-Ono equation…, Dario Bambusi September 11 09:30 - 10:20 Workshop: A Nekhoroshev theorem for some (smoothing) perturbations of the Benjamin-Ono equation…, Dario Bambusi
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Workshop: Finite-time singularity formation for angled-crested water waves, Alberto Enciso September 11 11:00 - 11:50 Workshop: Finite-time singularity formation for angled-crested water waves, Alberto Enciso
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Workshop: Geometry of singular vorticities in the Euler hydrodynamics, Boris Khesin September 11 14:00 - 14:50 Workshop: Geometry of singular vorticities in the Euler hydrodynamics, Boris Khesin
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Workshop: Spatial asymptotic expansions in the Navier-Stokes equation, Peter Topalov September 11 15:30 - 16:20 Workshop: Spatial asymptotic expansions in the Navier-Stokes equation, Peter Topalov
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Workshop: Global rational solutions of the one dimensional Half-Wave Maps equation, Patrick Gérard September 12 09:00 - 09:50 Workshop: Global rational solutions of the one dimensional Half-Wave Maps equation, Patrick Gérard
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Workshop: Modulational and uniform subharmonic dynamics of spectrally stable periodic waves, Mariana Haragus September 12 10:30 - 11:20 Workshop: Modulational and uniform subharmonic dynamics of spectrally stable periodic waves, Mariana Haragus
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Workshop: The virial theorem for water waves, Thomas Alazard September 12 11:30 - 12:20 Workshop: The virial theorem for water waves, Thomas Alazard
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Workshop: Full description of Benjamin-Feir instability of Stokes waves, Alberto Maspero September 12 14:00 - 14:50 Workshop: Full description of Benjamin-Feir instability of Stokes waves, Alberto Maspero
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Workshop: Disproving the Deift conjecture: the loss of almost periodicity, Andreia Chapouto September 12 15:30 - 16:20 Workshop: Disproving the Deift conjecture: the loss of almost periodicity, Andreia Chapouto
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Workshop: Water Waves and Hamiltonian Mechanics, Patrik Nabelek September 13 09:00 - 09:50 Workshop: Water Waves and Hamiltonian Mechanics, Patrik Nabelek
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Workshop: Almost global existence of periodic water waves, Massimiliano Berti September 13 10:30 - 11:20 Workshop: Almost global existence of periodic water waves, Massimiliano Berti
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Workshop: Stable undular bores: rigorous analysis and validated numerics, Vera Mikyoung Hur September 13 11:30 - 12:20 Workshop: Stable undular bores: rigorous analysis and validated numerics, Vera Mikyoung Hur
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Workshop: The 2D nonlinear shallow water equations with a partially immersed obstacle, David Lannes September 14 09:00 - 09:50 Workshop: The 2D nonlinear shallow water equations with a partially immersed obstacle, David Lannes
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Workshop: The KdV equation as a tool in nearshore wave modeling, Henrik Kalisch September 14 10:30 - 11:20 Workshop: The KdV equation as a tool in nearshore wave modeling, Henrik Kalisch
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Workshop: Three-dimensional gravity-capillary solitary waves on Beltrami flows, Mark Groves September 14 11:30 - 12:20 Workshop: Three-dimensional gravity-capillary solitary waves on Beltrami flows, Mark Groves
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Workshop: Equations with very low order of dispersion – an overview and description of new results, Mats Ehrnström September 14 14:00 - 14:50 Workshop: Equations with very low order of dispersion – an overview and description of new results, Mats Ehrnström
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Workshop: Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave eq.., Tadahiro Oh September 14 15:30 - 16:20 Workshop: Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave eq.., Tadahiro Oh
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Workshop: The Hunter–Saxton equation – stability and its consequences, Katrin Grunert September 15 09:00 - 09:50 Workshop: The Hunter–Saxton equation – stability and its consequences, Katrin Grunert
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Workshop: On the vorticity threshold for water waves with a non-favorable constant vorticity, Evgeniy Lokharu September 15 10:30 - 11:20 Workshop: On the vorticity threshold for water waves with a non-favorable constant vorticity, Evgeniy Lokharu
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Workshop: On the collision of nearly equal solitary waves for the Zakharov-Kuznetsov equation, Didier Pilod September 15 11:30 - 12:20 Workshop: On the collision of nearly equal solitary waves for the Zakharov-Kuznetsov equation, Didier Pilod
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Mini course w. Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects September 19 10:00 - 11:30 Mini course w. Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects
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Samuel Walsh: Desingularization of hollow vortices September 19 14:00 - 15:00 Samuel Walsh: Desingularization of hollow vortices
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Mini course w. Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects September 20 10:00 - 11:30 Mini course w. Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects
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Mini course w. Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects September 21 10:00 - 11:30 Mini course w. Daniel Peralta-Salas: Complexity in Beltrami flows: deterministic and probabilistic aspects
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Stefano Pasquali: Asymmetrical three-dimensional Water Waves on Beltrami flows September 21 14:00 - 15:00 Stefano Pasquali: Asymmetrical three-dimensional Water Waves on Beltrami flows
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Louise Gassot: Cauchy Problem in Low Regularity for Schrödinger-Type Equations September 26 14:00 - 15:00 Louise Gassot: Cauchy Problem in Low Regularity for Schrödinger-Type Equations
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Jörg Weber: New results on global bifurcation of traveling periodic water waves September 26 15:00 - 16:00 Jörg Weber: New results on global bifurcation of traveling periodic water waves
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Boris Buffoni: Heteroclinic orbits describing convective patterns with orthogonal walls September 28 10:00 - 11:00 Boris Buffoni: Heteroclinic orbits describing convective patterns with orthogonal walls
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Dag Nilsson: Existence and decay of lump solutions of the fractional KP equation September 28 11:00 - 12:00 Dag Nilsson: Existence and decay of lump solutions of the fractional KP equation
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Susanna Haziot: Desingularization and long-term dynamics of solutions to fluid models October 03 14:00 - 15:00 Susanna Haziot: Desingularization and long-term dynamics of solutions to fluid models
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Christophe Charlier: On Boussinesq’s equation for water waves October 03 15:00 - 16:00 Christophe Charlier: On Boussinesq’s equation for water waves
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Nicolas Camps: Towards the invariance of the Gibbs measure for NLS on the sphere October 04 09:30 - 10:30 Nicolas Camps: Towards the invariance of the Gibbs measure for NLS on the sphere
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Dan J. Hill: Going around in circles: Developing a functional analytic framework for radial solutions to PDEs October 04 10:30 - 11:30 Dan J. Hill: Going around in circles: Developing a functional analytic framework for radial solutions to PDEs
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Siddhant Agrawal | University: Instituto de Ciencias Matemáticas, ICMAT | City: Spain | Arrival and Departure: Oct 15 - Oct 25, 2023 |
| Rami Ahmad | University: University of Saarland | City: Germany | Arrival and Departure: Oct 3 - Oct 15, 2023 |
| Thomas Alazard | University: École Normale Supérieure Paris-Saclay | City: France | Arrival and Departure: - |
| Diego Alonso Orán | University: University of La Laguna | City: Spain | Arrival and Departure: Nov 5 - Nov 12, 2023 |
| Alireza Ataei | University: Uppsala University | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Rafael Bailo | University: University of Oxford | City: United Kingdom | Arrival and Departure: Oct 16 - Dec 8, 2023 |
| Pietro Baldi | University: University of Naples Federico II | City: Italy | Arrival and Departure: Oct 22 - Oct 28, 2023 |
| Dario Bambusi | University: University of Milan | City: Italy | Arrival and Departure: Sep 3 - Sep 14, 2023 |
| Massimiliano Berti | University: SISSA | City: Italy | Arrival and Departure: Sep 6 - Sep 23, 2023 |
| Stefano Böhmer | University: Lund University | City: Sweden | Arrival and Departure: Sep 24 - Oct 20, 2023 |
| Boris Buffoni | University: Swiss Federal Institute of Technology Lausanne | City: Switzerland | Arrival and Departure: Sep 24 - Oct 1, 2023 |
| Nicolas Camps | University: Université de Nantes | City: France | Arrival and Departure: Aug 30 - Oct 20, 2023 |
| Jose A. Carrillo | University: University of Oxford | City: United Kingdom | Arrival and Departure: Nov 23 - Dec 1, 2023 |
| Christophe Charlier | University: Lund University | City: Sweden | Arrival and Departure: Oct 2 - Oct 5, 2023 |
| Georg Chechelnizki | University: ELSC, Hebrew University of Jerusalem | City: Israel | Arrival and Departure: Nov 27 - Dec 1, 2023 |
| Thomas Christiansen | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Nov 12 - Nov 19, 2023 |
| Andrea Clini | University: University of Oxford | City: United Kingdom | Arrival and Departure: Nov 27 - Dec 1, 2023 |
| Rinaldo Colombo | University: University of Brescia | City: Italy | Arrival and Departure: - |
| Diego Córdoba | University: Instituto de Ciencias Matemáticas, ICMAT | City: Spain | Arrival and Departure: Oct 16 - Oct 20, 2023 |
| Quentin Cormier | University: Inria Saclay Centre | City: France | Arrival and Departure: Nov 20 - Dec 1, 2023 |
| Joel Dahne | University: Uppsala University | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Vincent Duchene (Online) | University: University of Rennes | City: France | Arrival and Departure: - |
| Søren István Adorján Dyhr | University: Universitat Politècnica de Catalunya | City: Spain | Arrival and Departure: Sep 18 - Sep 23, 2023 |
| Mats Ehrnström | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 31 - Sep 29, 2023 |
| Alberto Enciso | University: Instituto de Ciencias Matemáticas, ICMAT | City: Spain | Arrival and Departure: Sep 11 - Sep 15, 2023 |
| Daniel Eriksson | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Frida Fejne | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Luca Galimberti | University: King's College London | City: United Kingdom | Arrival and Departure: Nov 26 - Dec 8, 2023 |
| Thierry Gallay | University: Université Grenoble Alpes | City: France | Arrival and Departure: Oct 20 - Nov 4, 2023 |
| Sondre Tesdal Galtung | University: NTNU – Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 30 - Nov 30, 2023 |
| Louise Gassot | University: University of Basel | City: Switzerland | Arrival and Departure: Aug 30 - Oct 20, 2023 |
| Patrick Gérard | University: University of Paris-Saclay | City: France | Arrival and Departure: Aug 30 - Sep 15, 2023 |
| Patricia Goncalves (Online) | University: Instituto Superior Técnico | City: Portugal | Arrival and Departure: - |
| Tamara Grava (Online) | University: University of Bristol | City: United Kingdom | Arrival and Departure: - |
| Mark Groves | University: Saarland University | City: Germany | Arrival and Departure: Sep 7 - Oct 31, 2023 |
| Nastasia Grubic | University: ICMAT | City: Spain | Arrival and Departure: Oct 15 - Oct 27, 2023 |
| Katrin Grunert | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 30, Oct 29 - Sep 29, Dec 2, 2023 |
| Shuchen Guo | University: University of Oxford | City: United Kingdom | Arrival and Departure: Nov 30 - Dec 8, 2023 |
| Nils Gutheil | University: University of Saarland | City: Germany | Arrival and Departure: Oct 3 - Oct 15, 2023 |
| Rishabh Gvalani | University: Max Planck Institute for Mathematics in the Sciences | City: Germany | Arrival and Departure: Nov 20 - Dec 8, 2023 |
| Piotr Gwiazda | University: Institute of Mathematics, Polish Academy of Sciences | City: Poland | Arrival and Departure: Oct 28 - Nov 12, 2023 |
| Zaher Hani | University: University of Michigan | City: United States | Arrival and Departure: Nov 19 - Dec 8, 2023 |
| Mariana Haragus | University: Université de Franche-Comté | City: France | Arrival and Departure: Sep 3 - Sep 16, 2023 |
| Susanna Haziot | University: Brown University | City: United States | Arrival and Departure: Aug 31 - Oct 20, 2023 |
| Bastian Hilder | University: Lund University | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Fredrik Hildrum | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Oct 30 - Nov 11, 2023 |
| Dan J. Hill | University: University of Saarland | City: Germany | Arrival and Departure: Oct 2 - Oct 23, 2023 |
| Helge Holden (Organizer) | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 29 - Dec 3, 2023 |
| Alexandra Holzinger | University: TU Wien | City: Austria | Arrival and Departure: Nov 20 - Dec 1, 2023 |
| Mingyi Hou | University: Uppsala University | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Vera Mikyoung Hur | University: University of Illinois Urbana-Champaign | City: United States | Arrival and Departure: Sep 10 - Sep 24, 2023 |
| Slim Ibrahim | University: University of Victoria | City: Canada | Arrival and Departure: Oct 14 - Nov 24, 2023 |
| Espen Jakobsen | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Nov 19 - Dec 1, 2023 |
| Jonas Jansen | University: Lund University | City: Sweden | Arrival and Departure: Oct 2 - Oct 21, 2023 |
| Henrik Kalisch | University: University of Bergen | City: Norway | Arrival and Departure: Sep 7 - Sep 30, 2023 |
| Kenneth H. Karlsen | University: University of Oslo | City: Norway | Arrival and Departure: Nov 26 - Nov 29, 2023 |
| Boris Khesin | University: University of Toronto | City: Canada | Arrival and Departure: Aug 27, Nov 12 - Sep 12, Dec 8, 2023 |
| Christian Klein | University: University of Burgundy | City: France | Arrival and Departure: Oct 9 - Oct 20, 2023 |
| Herbert Koch | University: University of Bonn | City: Germany | Arrival and Departure: Oct 29 - Nov 3, 2023 |
| Vladimir Kozlov | University: Linköping University | City: Sweden | Arrival and Departure: Oct 8 - Oct 29, 2023 |
| Christophe Lacave | University: Université Grenoble Alpes | City: France | Arrival and Departure: Nov 12 - Nov 17, 2023 |
| René Langøen | University: University of Bergen | City: Norway | Arrival and Departure: Dec 2 - Dec 8, 2023 |
| David Lannes | University: Institut de Mathématiques de Bordeaux, CNRS | City: France | Arrival and Departure: Sep 5 - Sep 20, 2023 |
| Jonatan Lenells (Organizer) | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Guopeng Li (Online) | University: Maxwell Institute | City: United Kingdom | Arrival and Departure: - |
| Wei Lian | University: Lund University | City: Sweden | Arrival and Departure: Sep 3, Sep 17 - Sep 9, Nov 18, 2023 |
| Erik Lindgren | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Evgeniy Lokharu | University: Lund University | City: Sweden | Arrival and Departure: Sep 13 - Sep 23, 2023 |
| Ola Mæhlen | University: University of Oslo | City: Norway | Arrival and Departure: Nov 19 - Nov 26, 2023 |
| Irina Markina | University: University of Bergen | City: Norway | Arrival and Departure: Dec 2 - Dec 8, 2023 |
| Johanna Marstrander | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Sep 4 - Sep 15, 2023 |
| Evan Miller | University: University of British Columbia | City: Canada | Arrival and Departure: Sep 3 - Dec 4, 2023 |
| Eva Miranda (Online) | University: Universitat Politècnica de Catalunya | City: Spain | Arrival and Departure: - |
| Klas Modin | University: Chalmers University of Technology and University of Gothenburg | City: Sweden | Arrival and Departure: Nov 20 - Dec 1, 2023 |
| Dag Nilsson | University: Lund University | City: Sweden | Arrival and Departure: Sep 16 - Oct 1, 2023 |
| Kaj Nyström | University: Uppsala University | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Tadahiro Oh | University: The University of Edinburgh | City: United Kingdom | Arrival and Departure: Sep 9, Nov 26 - Sep 16, Dec 2, 2023 |
| Magnus Ørke | University: University of Oslo | City: Norway | Arrival and Departure: Oct 21 - Nov 18, 2023 |
| Peter Pang | University: University of Oslo | City: Norway | Arrival and Departure: Nov 19 - Dec 3, 2023 |
| Stefano Pasquali | University: Université Paris-Saclay | City: France | Arrival and Departure: Sep 17 - Oct 30, 2023 |
| Martin Oen Paulsen | University: University of Bergen | City: Norway | Arrival and Departure: Sep 3 - Sep 15, 2023 |
| Daniel Peralta-Salas | University: ICMAT | City: Spain | Arrival and Departure: Sep 18 - Sep 22, 2023 |
| Didier Pilod | University: University of Bergen | City: Norway | Arrival and Departure: Sep 3 - Sep 16, 2023 |
| Nils Henrik Riesbro | University: University of Oslo | City: Norway | Arrival and Departure: Sep 4 - Dec 1, 2023 |
| Christian Rohde | University: University of Stuttgart | City: Germany | Arrival and Departure: Dec 2 - Dec 8, 2023 |
| Svetlana Roudenko | University: Florida International University | City: United States | Arrival and Departure: Oct 3, Nov 11 - Oct 29, Nov 26, 2023 |
| Pierre Roux | University: École Centrale de Lyon, Institut Camille Jordan | City: France | Arrival and Departure: Oct 16 - Dec 8, 2023 |
| Jean-Claude Saut | University: Université Paris-Saclay | City: France | Arrival and Departure: Sep 10, Oct 9 - Sep 16, Oct 13, 2023 |
| Sebastian Schwarzacher | University: Uppsala University | City: Sweden | Arrival and Departure: Oct 1 - Oct 15, 2023 |
| Chengyang Shao (Online) | University: University of Chicago | City: United States | Arrival and Departure: - |
| Susanne Solem | University: Norwegian University of Life Sciences | City: Norway | Arrival and Departure: Oct 1, Nov 12 - Oct 21, Dec 2, 2023 |
| Halvard Olsen Storbugt | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Catherine Sulem (Organizer) | University: University of Toronto | City: Canada | Arrival and Departure: Sep 2, Nov 12 - Sep 15, Nov 30, 2023 |
| Douglas Svensson Seth | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Hao Tang | University: University of Oslo | City: Norway | Arrival and Departure: Oct 23 - Nov 12, 2023 |
| Alireza Tavakoli | University: KTH Royal Institute of Technology | City: Sweden | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Giang To | University: Lund University | City: Sweden | Arrival and Departure: Aug 30 - Oct 15, 2023 |
| Milica Tomasevic | University: CNRS, CMAP, École Polytechnique | City: France | Arrival and Departure: Nov 27 - Dec 1, 2023 |
| Ganesh Kiran Vaidya | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Nov 5 - Nov 18, 2023 |
| Kristoffer Varholm | University: NTNU - Norwegian University of Science and Technology | City: Norway | Arrival and Departure: Aug 30 - Dec 8, 2023 |
| Juan Velázquez | University: University of Bonn | City: Germany | Arrival and Departure: Nov 5 - Nov 11, 2023 |
| Erik Wahlén (Organizer) | University: Lund University | City: Sweden | Arrival and Departure: Sep 4 - Dec 8, 2023 |
| Samuel Walsh | University: University of Missouri | City: United States | Arrival and Departure: Sep 17 - Sep 23, 2023 |
| Jörg Weber | University: Lund University | City: Sweden | Arrival and Departure: Aug 31 - Oct 15, 2023 |
| Miles Wheeler | University: University of Bath | City: United Kingdom | Arrival and Departure: Sep 16 - Sep 21, 2023 |