• Schild Mathematik Ost
Mathematische Strömungsmechanik

Oberseminar Mathematische Strömungsmechanik

Generalized dissipative solutions to equations describing compressible viscous fluids
Datum: 08.06.2020, 09:30 - 10:00 Uhr
Kategorie: Veranstaltung
Ort: Hubland Nord, Geb. 40, 03.003
Vortragende:r: Anna Abbatiello

The existence of global-in-time weak/strong solutions to models of compressible viscous fluids with non-linear viscosity tensor is largely open. We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides with the strong solution as long as the latter exists (weak-strong uniqueness) and they solve the problem in the classical sense as soon as they are smooth (compatibility). We consider a class of viscous fluids with a general monotone dependence of the viscous stress on the symmetric velocity gradient and non-homogeneous boundary conditions.

This is joint work among others with Eduard Feireisl.

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