Non-radial self-similar solutions for the critical dissipative quasi-geostrophic equation.

DOI10.1016/j.crma.2005.09.004zbMath1155.76320OpenAlexW2000548170MaRDI QIDQ2574125

Fabien Marchand, Pierre Gilles Lemarié Rieusset

Publication date: 17 November 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.09.004

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) General theory of rotating fluids (76U05) Partial functional-differential equations (35R10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• Self-similar solutions in weak \(L^ p\)-spaces of the Navier-Stokes equations
• On the critical dissipative quasi-geostrophic equation
• Well-posedness for the Navier-Stokes equations

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