Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case

DOI10.1016/j.matpur.2022.07.001zbMath1496.35311arXiv2105.08333OpenAlexW3160467555WikidataQ115568977 ScholiaQ115568977MaRDI QIDQ2166055

Timothée Crin-Barat, Raphaël Danchin

Publication date: 23 August 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08333

zbMATH Keywords

hyperbolic systemsglobal solutionstime decaycritical regularitypartially dissipative

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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