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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 2023Show all

6 papers · 1 filter

math.AP2023

On strict positivity of the temperature in the Navier--Stokes--Fourier system

Eduard Feireisl

We show the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions admits a weak solution with a strictly positive temperature as long as the initial/bo…

math.AP2023★ 2 cited

Thermally driven fluid convection in the incompressible limit regime

Francesco Fanelli, Eduard Feireisl

We consider a scaled Navier--Stokes--Fourier system describing the motion of a compressible, heat-conducting, viscous fluid driven by inhomogeneous boundary temperature distributio…

math.AP2023

Glimm's method and density of wild data for the Euler system of gas dynamics

Elisabetta Chiodaroli, Eduard Feireisl

We adapt Glimm's approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite fami…

math.AP2023★ 1 cited

Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions

Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon +1

We propose a new concept of weak solution to the equations of compressible magnetohydrodynamics driven by large boundary data. The system of the underlying field equations is solva…

math.AP2023

Compressible magnetohydrodynamics as a dissipative system

Jan Brezina, Eduard Feireisl

We consider the complete system of equations governing the motion of a general compressible, viscous, electrically and heat conductive fluid driven by non-conservative boundary con…

math.AP2023

Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions

Danica Basarić, Eduard Feireisl, Hana Mizerová

We consider the Navier-Stokes-Fourier system with the inhomogeneous boundary conditions for the velocity and the temperature. We show that solutions emanating from sufficiently reg…