On the Navier-Stokes equations in the half-space with initial and boundary rough data in Morrey spaces

DOI10.1016/j.jde.2012.11.001zbMath1255.76022OpenAlexW2052550920MaRDI QIDQ1932448

Lucas C. F. Ferreira, Marcelo Fernandes de Almeida

Publication date: 18 January 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.11.001

zbMATH Keywords

Navier-Stokes equationsinitial-boundary value problemasymptotic stabilityself-similarityMorrey spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Initial-boundary value problems for second-order parabolic equations (35K20) Function spaces arising in harmonic analysis (42B35) Integral representations of solutions to PDEs (35C15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Symmetries, invariants, etc. in context of PDEs (35B06) Self-similar solutions to PDEs (35C06)

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