Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity

0583148 - MÚ 2025 RIV NL eng J - Journal Article
Bisconti, L. - Caggio, Matteo
Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity.
Journal of Differential Equations. Roč. 390, 5 May (2024), s. 370-425. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR(CZ) GA22-01591S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : boundary layer * compressible Navier-Stokes equations * density dependent viscosity * inviscid limit
OECD category: Pure mathematics
Impact factor: 2.4, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jde.2024.01.045

We consider the compressible Navier-Stokes system describing the motion of a barotropic fluid with density dependent viscosity confined in a three-dimensional bounded domain Ω. We show the convergence of the weak solution to the compressible Navier-Stokes system to the strong solution to the compressible Euler system when the viscosity and the damping coefficients tend to zero.
Permanent Link: https://hdl.handle.net/11104/0351140