Compressible Navier-Stokes system with transport noise

0559956 - MÚ 2023 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible fluids * stochastic Navier-Stokes system * transport noise
Obor OECD: Pure mathematics
Impakt faktor: 2, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0333079