Talk by Anna Abbatiello

The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Wednesday (April 28, 2021) from 9:00 till 10:00. The talk will be given by Anna Abbatiello. Please see the details below.

Speaker: Anna Abbatiello

Title: Generalized solutions to models of compressible viscous fluids

Abstract: We consider general models of compressible viscous fluids with nonlinear viscosity tensor and inhomogeneous boundary conditions, for which the problem of existence of global in time weak/strong solutions is 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). This is a joint work with Eduard Feireisl and Antonin Novotny.