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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…
Unbounded rough drivers, rough PDEs and applications
Antoine Hocquet, Martina Hofmanova, Torstein Nilssen
A summary of recent contributions in the field of rough partial differential equations is given. For that purpose we rely on the formalism of ``unbounded rough driver''. We present…
On the long time behavior of compressible fluid flows excited by random forcing
Dominic Breit, Eduard Feireisl, Martina Hofmanova
We are concerned with the long time behavior of the stochastic Navier--Stokes system for compressible fluids in dimension two and three. In this setting, the part of the phase spac…
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits
Martina Hofmanova, Ujjwal Koley, Utsab Sarkar
We introduce a new concept of dissipative measure-valued martingale solutions to the stochastic compressible Euler equations. These solutions are weak in the probabilistic sense i.…
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…
Dissipative solutions and semiflow selection for the complete Euler system
Dominic Breit, Eduard Feireisl, Martina Hofmanova
To circumvent the ill-posedness issues present in various models of continuum fluid mechanics, we present a dynamical systems approach aiming at selection of physically relevant so…