On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces

DOI10.1007/s10231-019-00824-1zbMath1428.35285OpenAlexW2912887964WikidataQ128428458 ScholiaQ128428458MaRDI QIDQ2332900

Reinhard Farwig, Yoshikazu Giga, Pen-Yuan Hsu

Publication date: 5 November 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-019-00824-1

zbMATH Keywords

initial valuesstability of solutionscontinuity of solutionsnonstationary Navier-Stokes systemlimiting type of Besov spaceweighted Serrin condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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Inverse image of precompact sets and regular solutions to the Navier–Stokes equations, Jean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248, On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces

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