SEMINAR @ SISSSA, prof. Denis Serre's course - remind

[Barbara Corzani]

dear all,

please find following the remind of prof. Denis Serre course of next week.

This is the schedule:

Monday 8 January:     14.30-16.00 room D
Tuesday 9 January:     11.00-12.30 room B
Wednesday 10 January:     09.00-10.30 and 14.00-15.30                                             room B
Thursday 11 January:     09.00-10.30 room D
                                    14.00-15.30 room C
                                      

You are all welcome to attend the course!

Best regards,
Barbara Corzani


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  FUNCTIONAL ANALYSIS SECTOR'S ACTIVITIES
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  On January 8-11, SlSSA, professor Denis Serre, UMPA Ecole Normale Superieure de Lyon, will give a course on:

  Dissipative mechanisms in systems of conservation laws

  Various dissipative mechanisms: viscosity, relaxation, coupling with elliptic equations, BGK models, ... Dissipative limit vs time asymptotics.

  Dissipation and entropy. A priori estimate. 

  Linear theory: Well-posedness for the Cauchy problem, time asymptotics, relaxation limit. Kawashima's condition ; link with control theory. Various instances of the sub-characteristic property.

  Discontinuities. How shocks are approached in dissipative structures: shock profiles. Can discontinuities happen in dissipative structures ?

  Nonlinear setting. Entropy formalism. Characteristic fields in hyperbolic-parabolic or hyperbolic-elliptic systems. Nonlinear diffusion waves, asymptotic decay. The scalar case; L^1 stability of travelling waves.

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  Denis Serre does not need any introduction: he is one of the most famous 
  mathematicians working in hyperbolic systems.
  His papers have influenced deeply all topics in non linear systems, and his 
  books have been a fundamental reference for researchers in this field. He has 
  won several prices for his most famous papers.

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