Analysis of dispersive systems

Workshop theme

The workshop will bring an in-depth focus on analytical methods used in the study of dispersive shock waves (DSW) and related phenomena in dispersive systems. Several areas of current interest will be covered:

(i) The development of the inverse scattering transform (IST) and the Riemann-Hilbert approach to semi-classical limits for integrable partial differential equations (PDEs) with non-zero initial boundary conditions.

(ii) Analysis of perturbed periodic waves in dispersive systems with connections to rigorous modulation theory, dynamics, and stability.

(iii) Multidimensional dispersionless systems, their dispersive deformations, and dispersive regularisation of multidimensional wavebreaking.

(iv) Rigorous dispersive hydrodynamic research in connection with other programme themes including numerical analysis of dispersive systems and relationships to conservation law theory.

Applications for this workshop are now closed

Fees

Registration Only

Registration Package: £208
Student Registration Package: £158

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Registration and Accommodation

Accommodation Package: £587

The Accommodation Package includes a registration fee, bed and breakfast accommodation at Churchill College from the evening of Sunday to breakfast on Saturday, together with lunches and refreshments during the days that lectures take place (Monday - Friday). The formal dinner is also included, but no other evening meals

Formal Dinner Only

Formal Dinner: £55

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Accommodation

Accommodation in single study bedrooms with shared facilities and breakfast are provided at Churchill College.

Meals

Lunch

Lunch will be held at Churchill College and timings will be confirmed with the timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner will be held at Corpus Christi College on Thursday 8th September at 19:30.

The event is a tradition for INI participants and gives you a chance to socialise with your colleagues on a more personal level. It is not one to miss!

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Analysis of dispersive systems, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.

Timetable

Monday 5th September 2022
10:00 to 10:30	Registration and Morning Coffee	No Room Required
10:25 to 10:30	Christie Marr Isaac Newton Institute Welcome Talk	Room 1
10:30 to 11:30	Vera Mikyoung Hur University of Illinois at Urbana-Champaign Stable undular bores	Room 1
11:30 to 12:30	Vincent Caudrelier University of Leeds Absorption/emission of solitons by an integrable boundary in the nonlinear Schrödinger model	Room 1
12:30 to 14:30	Lunch	No Room Required
14:30 to 15:30	Peter Miller University of Michigan The Maxwell-Bloch System in the Sharp-Line Limit	Room 1
15:30 to 16:30	Paolo Lorenzoni Università degli Studi di Milano - Bicocca Integrable PDEs and Miura invariants	Room 1
16:30 to 17:30	Welcome Wine Reception at INI	No Room Required

Tuesday 6th September 2022
09:00 to 10:00	Gerald Teschl Universität Wien On the KdV shock problem	Room 1
10:00 to 10:30	Morning Coffee & Group Photo	No Room Required
10:30 to 11:30	Manuela Girotti Saint Mary's University; Concordia University Soliton versus the gas: Fredholm determinants, analysis, and kinetic equations	Room 1
11:30 to 12:30	Robert Buckingham University of Cincinnati Universality of High-Order Rogue Waves	Room 1
12:30 to 14:30	Lunch	No Room Required
14:30 to 15:30	Catherine Sulem University of Toronto A Hamiltonian Dysthe equation for deep-water gravity waves with constant vorticity	Room 1
15:30 to 16:30	Michael Shearer North Carolina State University A Special Collection of Traveling Waves for the Kawahara Equation	Room 1
16:30 to 17:00	Afternoon Tea	No Room Required

Wednesday 7th September 2022
09:00 to 10:00	Derchyi Wu Institute of Mathematics, Academia Sinica, Taipei, Taiwan; Academia Sinica The inverse problem of Kadomtsev-Petviashvili II equation	Room 1
10:00 to 10:30	Morning Coffee	No Room Required
10:30 to 11:30	Constance Schober University of Central Florida Nonlinear damped spatially periodic breathers and the emergence of soliton-like rogue waves	Room 1
11:30 to 12:30	Robert Jenkins University of Central Florida TBC	Room 1
12:30 to 14:30	Lunch	No Room Required

Thursday 8th September 2022
09:00 to 10:00	Ken McLaughlin Tulane University Asymptotic analysis of solitons: examples and open problems	Room 1
10:00 to 10:30	Morning Coffee	No Room Required
10:30 to 11:30	Turker Ozsari Bilkent University Some results on well-posedness and qualitative behavior of solutions for NLS on domains with boundary	Room 1
11:30 to 12:30	Panayotis Panayotaros Universidad Nacional Autonoma de Mexico (UNAM) Small amplitude water waves in a domain with inclined walls	Room 1
12:30 to 14:30	Lunch	No Room Required
14:30 to 15:30	Alex Himonas University of Notre Dame The Korteweg-de Vries equation on the half-line with smooth and rough data	Room 1
15:30 to 16:30	Alexei Rybkin University of Alaska Fairbanks What the KdV does to embedded eigenvalues	Room 1
16:30 to 17:00	Afternoon Tea and Poster Session	No Room Required
19:30 to 22:00	Formal Dinner at Corpus Christi College	No Room Required

Friday 9th September 2022
09:00 to 10:00	Pavel Lushnikov University of New Mexico; Landau Institute for Theoretical Physics Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation with and without dissipation	Room 1
10:00 to 10:30	Morning Coffee	No Room Required
10:30 to 11:30	Agis Athanassoulis University of Dundee The Landau-Alber bifurcation: implications for the analysis of metocean data, and open questions in Landau damping	Room 1
11:30 to 12:30	Ted Johnson University College London The reduced Ostrovsky equation: integrability, breaking and orbital stability	Room 1
12:30 to 14:30	Lunch	No Room Required
14:30 to 15:30	Fudong Wang University of Central Florida Recent Developments in Spectral Theory of Focusing NLS Soliton Gases: Average Densities, Fluxes and Periodic Gases	Room 1
15:30 to 16:30	Dionyssis Mantzavinos University of Kansas Initial-boundary value problems for the nonlinear Schrödinger equation in one and two dimensions	Room 1
16:30 to 17:00	Afternoon Tea	No Room Required

Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

Organisers

Gino Biondini University at Buffalo
Mark Hoefer University of Colorado Boulder
Dionyssis Mantzavinos University of Kansas
Barbara Prinari University at Buffalo

Speakers

Agis Athanassoulis University of Dundee
Robert Buckingham University of Cincinnati
Vincent Caudrelier University of Leeds
Manuela Girotti Saint Mary's University; Concordia University
Alex Himonas University of Notre Dame
Vera Mikyoung Hur University of Illinois at Urbana-Champaign
Robert Jenkins University of Central Florida
Ted Johnson University College London
Paolo Lorenzoni Università degli Studi di Milano - Bicocca
Pavel Lushnikov University of New Mexico; Landau Institute for Theoretical Physics
Dionyssis Mantzavinos University of Kansas
Christie Marr Isaac Newton Institute
Ken McLaughlin Tulane University
Peter Miller University of Michigan
Turker Ozsari Bilkent University
Panayotis Panayotaros Universidad Nacional Autonoma de Mexico (UNAM)
Alexei Rybkin University of Alaska Fairbanks
Constance Schober University of Central Florida
Michael Shearer North Carolina State University
Catherine Sulem University of Toronto
Gerald Teschl Universität Wien
Fudong Wang University of Central Florida
Derchyi Wu Institute of Mathematics, Academia Sinica, Taipei, Taiwan; Academia Sinica

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Participants

Kemi Adewale University of KwaZulu-Natal
Mathew Aibinu None / Other; University of KwaZulu-Natal
David Ambrose Drexel University
Alessandro Arsie None / Other
Agis Athanassoulis University of Dundee
Deniz Bilman University of Cincinnati
Gino Biondini University at Buffalo
Robert Buckingham University of Cincinnati
Annalisa Calini College of Charleston
Roberto Camassa University of North Carolina
Henry Carr Northumbria University
Marcos Caso-Huerta Northumbria University
Vincent Caudrelier University of Leeds
Efstathios Charalampidis California Polytechnic State University San Luis Obispo
Thibault Congy Northumbria University
Marta Dell'Atti University of Portsmouth
Praveen Kumar Dhankar Rashtrasant Tukadoji Maharaj Nagpur University
Yassir Dinar Sultan Qaboos University
Iryna Egorova B. Verkin Institute for Low Temperature Physics and Engineering
Gennady El Northumbria University
Gavin Esler University College London
Eugene Ferapontov Loughborough University
Manuela Girotti Saint Mary's University; Concordia University
Tamara Grava SISSA; University of Bristol
Mariana Haragus Université de Franche-Comté
Alex Himonas University of Notre Dame
Mark Hoefer University of Colorado Boulder
Vera Mikyoung Hur University of Illinois at Urbana-Champaign
Robert Jenkins University of Central Florida
Ted Johnson University College London
David Ketcheson King Abdullah University of Science and Technology (KAUST)
Karima Khusnutdinova Loughborough University
Christian Klein Université de Bourgogne
Yuji Kodama Ohio State University
Boris Kruglikov Universitetet i Tromsø
Arno Kuijlaars KU Leuven
Priscila Leal da silva Loughborough University
Paolo Lorenzoni Università degli Studi di Milano - Bicocca
Pavel Lushnikov University of New Mexico; Landau Institute for Theoretical Physics
Dionyssis Mantzavinos University of Kansas
Yifeng Mao University of Colorado Boulder
Ken McLaughlin Tulane University
Paul Milewski University of Bath
Peter Miller University of Michigan
Ankita Mitra None / Other
Antonio Moro Northumbria University
Pascal Noble Université de Toulouse
Katie Oliveras Seattle University
Jeffrey Oregero University of Central Florida
Giuseppe Orsatti SISSA
Al Osborne Nonlinear Waves Research Corporation
Turker Ozsari Bilkent University
Panayotis Panayotaros Universidad Nacional Autonoma de Mexico (UNAM)
Emilian I Parau University of East Anglia
Maxim Pavlov Lebedev Physical Institute
Dmitry Pelinovsky McMaster University
Peter Perry University of Kentucky
Barbara Prinari University at Buffalo
Mohammad Reza Rahmati Centro de Investigación en Matemáticas
Daniel Ratliff Northumbria University
Antoine Remond-Tiedrez University of Cambridge
Giacomo Roberti Northumbria University
Alexei Rybkin University of Alaska Fairbanks
Hayder Salman University of East Anglia
Jean-Claude Saut Université Paris Saclay
Constance Schober University of Central Florida
Michael Shearer North Carolina State University
Denis Silantyev University of Colorado Colorado Springs
Matteo Sommacal Northumbria University
Patrick Sprenger University of Cambridge
Catherine Sulem University of Toronto
Gerald Teschl Universität Wien
Alexander Tovbis University of Central Florida
Olga Trichtchenko University of Western Ontario
Fudong Wang University of Central Florida
Derchyi Wu Institute of Mathematics, Academia Sinica, Taipei, Taiwan; Academia Sinica
Anand Kumar Yadav Department for Education