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math.AP2025

Well-posedness of the Euler system of gas dynamics

Eduard Feireisl, Maria Lukacova-Medvidova

We propose a new two-step selection criterion applicable to the dissipative measure--valued solutions of the Euler system of gas dynamics. The process consists of a successive maxi…

math.AP2025

Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows

Eduard Feireisl, Wladimir Neves

We apply a continuous data assimilation method to the Navier-Stokes-Fourier system governing the evolution of a compressible, rotating and thermally driven fluid. A rigorous proof…

math.AP2025

On the Rayleigh--B\' enard convection problem for rotating fluids

Francesco Fanelli, Eduard Feireisl

In contrast with a large variety of conventional models of thermally driven fluids, we show that the standard Oberbeck--Boussinesq approximation \emph{cannot} be obtained as a sing…

math.AP2025

On physically grounded boundary conditions for the compressible MHD system

Jan Brezina, Eduard Feireisl

We consider a general compressible MHD system, where the magnetic field propagates in a heterogeneous medium. Using suitable penalization in terms of the transport coefficients we…

math.AP2025

Compressible fluids excited by space-dependent transport noise

D. Breit, E. Feireisl, M. Hofmanova +1

We study the compressible Navier-Stokes system driven by physically relevant transport noise, where the noise influences both the continuity and momentum equations. Our approach is…

math.AP2025

Maximal dissipation and well-posedness of the Euler system of gas dynamics

Eduard Feireisl, Ansgar Jüngel, Mária Lukáčová-Medvid'ová

We show that any dissipative (measure-valued) solution of the compressible Euler system that complies with Dafermos' criterion of maximal dissipation is necessarily an admissible w…