Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations

0562805 - MÚ 2023 RIV DE eng J - Journal Article
Kalousek, Martin - Mácha, Václav - Nečasová, Šárka
Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations.
Mathematische Annalen. Roč. 384, 3-4 (2022), s. 1057-1089. ISSN 0025-5831. E-ISSN 1432-1807
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : Fourier multiplier theorems * regularity
OECD category: Pure mathematics
Impact factor: 1.4, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s00208-021-02301-8

The aim of this article is to show a local-in-time existence of a strong solution to the generalized compressible Navier-Stokes equations for arbitrarily large initial data. The goal is reached by Lp-theory for linearized equations which are obtained with help of the Weis multiplier theorem and can be seen as a generalization of the work of Enomoto and Shibata (Funkcial Ekvac 56(3):441–505, 2013) (devoted to compressible fluids) to compressible non-Newtonian fluids.
Permanent Link: https://hdl.handle.net/11104/0335000