We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient 𝛾 > 3/2, in three dimensions, 𝛾 > 1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded Lipschitz piecewise regular domain, without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain. The result applies also to pressure laws that are non-monotone on a compact portion of the interval [0, ∞).
|Number of pages||25|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|Publication status||Published - 2018 Aug|
Bibliographical noteFunding Information:
National Research Foundation of Korea, Grant/Award Numbers: 2015 R1A5A1009350, 2016R1C1B2015731 The work of H. J. Choe has been supported by the NRF grant 2015 R1A5A1009350. The work of A.N. has been supported by the NRF grant 2015 R1A5A1009350. The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731.
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Applied Mathematics