Compressible Navier-Stokes system with transport noise

0559956 - MÚ 2023 RIV US eng J - Journal Article
Breit, D. - Feireisl, Eduard - Hofmanová, M. - Zatorska, E.
Compressible Navier-Stokes system with transport noise.
SIAM Journal on Mathematical Analysis. Roč. 54, č. 4 (2022), s. 4465-4494. ISSN 0036-1410. E-ISSN 1095-7154
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : compressible fluids * stochastic Navier-Stokes system * transport noise
OECD category: Pure mathematics
Impact factor: 2, year: 2022
Method of publishing: Limited access
https://doi.org/10.1137/21M1464701

We consider the barotropic Navier-Stokes system driven by a physically well-motivated transport noise in both a continuity as well as momentum equation. We focus on three different situations: (i) the noise is smooth in time and the equations are understood as in the sense of the classical weak deterministic theory, (ii) the noise is rough in time and we interpret the equations in the framework of rough paths with unbounded rough drivers, and (iii) we have a Brownian noise of Stratonovich type and study the existence of martingale solutions. The first situation serves as an approximation for (ii) and (iii), while (ii) and (iii) are motivated by recent results on the incompressible Navier-Stokes system concerning the physical modeling as well as regularization by noise.
Permanent Link: https://hdl.handle.net/11104/0333079