Measure-valued solutions in fluid mechanics: Present and Future

par Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences)

mardi 29 nov. 2016, 14:00 → 15:00 Europe/Paris

Fokko Du Cloux (Université Claude Bernard Lyon 1 - Campus de la Doua, Bâtiment Braconnier)

In view of some recent results concerning the Euler system, the measure valued solutions reappeared as a suitable alternative to weak solutions for problems in fluid mechanics. We introduce the concept of dissipative measure-valued solutions to both Euler and the Navier-Stokes system and show some applications: Weak strong uniqueness and stability. Finally, some examples of numerical schemes will be given, where this technique leads to positive convergence results.