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20032026
most citedRelative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system

253 citations · 1.4k across the 134 of their papers we have counts for

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Showing 2019 · math.APShow all

12 papers · 2 filters

math.AP2019

Generalized solutions to models of compressible viscous fluids

Anna Abbatiello, Eduard Feireisl, Antonin Novotny

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 equatio…

math.AP2019

Nonlinear electrokinetics in nematic electrolytes

E. Feireisl, E. Rocca, G. Schimperna +1

In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid…

math.AP2019

Generalized solutions to models of inviscid fluids

Dominic Breit, Eduard Feireisl, Martina Hofmanova

We discuss several approaches to generalized solutions of problems describing the motion of inviscid fluids. We propose a new concept of dissipative solution to the compressible Eu…

math.AP2019★ 1 cited

On a class of generalized solutions to equations describing incompressible viscous fluids

A. Abbatiello, E. Feireisl

We consider a class of viscous fluids with a general monotone dependence of the viscous stress on the symmetric velocity gradient. We introduce the concept of dissipative solution…

math.AP2019

On convergence of approximate solutions to the compressible Euler system

Eduard Feireisl, Martina Hofmanová

We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations modulo an error vani…

math.AP2019

On strong continuity of weak solutions to the compressible Euler system

Anna Abbatiello, Eduard Feireisl

Let be an arbitrary countable (dense) set. We show that for any given initial density and momentum, the compressible Euler syst…