Low Mach number limit on thin domains

0519362 - MÚ 2021 RIV GB eng J - Článek v odborném periodiku
Caggio, M. - Donatelli, D. - Nečasová, Šárka - Sun, Y.
Low Mach number limit on thin domains.
Nonlinearity. Roč. 33, č. 2 (2020), s. 840-863. ISSN 0951-7715. E-ISSN 1361-6544
Grant CEP: GA ČR GA16-03230S; GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier–Stokes system * dimension reduction * low Mach number limit * vanishing viscosity
Obor OECD: Pure mathematics
Impakt faktor: 2.129, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1088/1361-6544/ab52df

We consider the compressible Navier–Stokes system describing the motion of a viscous fluid confined to a straight layer . We show that the weak solutions in the 3D domain converge strongly to the solution of the 2D incompressible Navier–Stokes equations (Euler equations) when the Mach number tends to zero as well as (and the viscosity goes to zero).
Trvalý link: http://hdl.handle.net/11104/0304355