Navier-Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions

DOI10.1016/j.jmaa.2017.10.048zbMath1379.35212OpenAlexW2767122645MaRDI QIDQ1682131

Senjo Shimizu, Hideo Kozono

Publication date: 28 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.048

zbMATH Keywords

Navier-Stokes equationsself-similar solutionsLorentz spaceglobal solutionsimplicit function theoremmaximal regularity theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Stability in context of PDEs (35B35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Self-similar solutions to PDEs (35C06) Strong solutions to PDEs (35D35)

Related Items (max. 100)

Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces ⋮ Time global mild solutions of Navier-Stokes-Oseen equations ⋮ Forces for the Navier-Stokes equations and the Koch and Tataru theorem ⋮ Navier–Stokes equations with external forces in Besov–Morrey spaces ⋮ Strong solutions of the Navier-Stokes equations with singular data ⋮ Preface ⋮ Stability of singular solutions to the Navier-Stokes system

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