Existence of dissipative (and weak) solutions for models of general compressible viscous fluids with linear pressure

0557840 - MÚ 2023 RIV CH eng J - Journal Article
Basarić, Danica
Existence of dissipative (and weak) solutions for models of general compressible viscous fluids with linear pressure.
Journal of Mathematical Fluid Mechanics. Roč. 24, č. 2 (2022), č. článku 56. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : compressible viscous fluid * dissipative solution * linear pressure * non-linear viscosity
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s00021-022-00688-1

In this work we will focus on the existence of dissipative solutions for a system describing a general compressible viscous fluid in the case of the pressure being a linear function of the density and the viscous stress tensor being a non-linear function of the symmetric velocity gradient. Moreover, we will study under which conditions it would be possible to get the existence of weak solutions.
Permanent Link: http://hdl.handle.net/11104/0331685