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Modulation theory and dispersive shock waves


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11th July 2022 to 15th July 2022
Sergey Gavrilyuk
Thibault Congy
Gennady El
Mark Hoefer

Workshop theme:

Whitham modulation theory has developed into a powerful mathematical tool to describe the intermediate and long-time behaviour of solutions to conservative or nearly conservative nonlinear dispersive equations. The theory achieved recognition with the successful description of dispersive shock waves (DSWs), identified nowadays in an abundant variety of physical applications. 

The workshop will focus on modern research in nonlinear modulation theory and will include (but won’t be limited to) the following major themes:

(i) DSWs and related structures in integrable and non-integrable systems with particular emphasis on non-convex and multi-dimensional dispersive hydrodynamics

(ii) theoretical analysis of modulation systems

(iii) numerical realisation of DSWs

(iv) physical applications


Deadline for applications: 11th April 2022

HYD programme participants DO NOT need to apply, programme participants with visit dates during H22W01 will automatically be added to the attendee list.

Please note members of Cambridge University are welcome to turn up and sign in as a non-registered attendee on the day(s) during the workshop and attend the lecture(s). Please note that we cannot provide you with any support including name badge, meals or accommodation.

In addition to visiting the INI, there are multiple ways in which you can participate remotely.

Apply now


Registration Only    
  • Registration Package: £TBC
  • Student Registration Package: £TBC

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.

Formal Dinner Only
  • Formal Dinner: £50

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.


Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.  Please see the Hotels Combined website for a list of local hotels and guesthouses.



Lunch timings and location will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner location and date is to be confirmed. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons