0519362 - MÚ 2021 RIV GB eng J - Journal Article
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
R&D Projects: GA ČR GA16-03230S; GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : compressible Navier–Stokes system * dimension reduction * low Mach number limit * vanishing viscosity
OECD category: Pure mathematics
Impact factor: 2.129, year: 2020
Method of publishing: Limited access
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).
Permanent Link: http://hdl.handle.net/11104/0304355