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Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations
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SYSNO ASEP 0562805 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations Author(s) Kalousek, Martin (MU-W) SAI, ORCID, RID
Mácha, Václav (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Mathematische Annalen. - : Springer - ISSN 0025-5831
Roč. 384, 3-4 (2022), s. 1057-1089Number of pages 33 s. Language eng - English Country DE - Germany Keywords Fourier multiplier theorems ; regularity Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000718064400001 EID SCOPUS 85119248425 DOI 10.1007/s00208-021-02301-8 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1007/s00208-021-02301-8
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