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Generalized Solutions to Models of Compressible Viscous Fluids by Abbatiello, Anna; Feireisl, Eduard; Novotny, Antonin is a scholarly article available to read on EtoBox.

What is Generalized Solutions to Models of Compressible Viscous Fluids about?

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 general models of compressible viscous fluids with non-linear viscosity tensor and non-homogeneous boundary conditions, for which the problem of existence of global-in-time weak/strong solutions is largely open.

Author

Abbatiello, Anna; Feireisl, Eduard; Novotny, Antonin

Published

2019

Language

EN