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Modulation theory and dispersive shock waves


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13th July 2020 to 17th July 2020
Sergey Gavrilyuk
Thibault Congy
Gennady El
Mark Hoefer


**Following the outbreak of COVID19, the start date of the HYD programme has presently been deferred until September 2020. Further details regarding this workshop will be made available in due course. See this page for further details.**


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: 12th April 2020

HYD programme participants DO NOT need to apply, programme participants with visit dates during HYDW01 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: £220
  • Student Registration Package: £170

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: £672

The Accommodation Package includes a registration fee, bed and breakfast accommodation at Robinson 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: £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.


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



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