Weak-strong uniqueness property for models of compressible viscous fluids near vacuum

Abstract

We extend the weak-strong uniqueness principle to general models of compressible viscous fluids near/on the vacuum. In particular, the physically relevant case of positive density with polynomial decay at infinity is considered.

References in corpus (5)

• Relative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system
• Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier-Stokes Equations with Vacuum
• Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
• On the implosion of a three dimensional compressible fluid
• On the long--time behavior of dissipative solutions to models of non-Newtonian compressible fluids

Cited by in corpus (1)

• Remark on the local well-posedness of compressible non-Newtonian fluids with initial vacuum