Quasi-geostrophic equations, nonlinear Bernstein inequalities and \(\alpha\)-stable processes

DOI10.4171/RMI/705zbMath1256.35191MaRDI QIDQ1759760

Diego Chamorro, Pierre Gilles Lemarié Rieusset

Publication date: 22 November 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

zbMATH Keywords

Besov spacesBernstein inequalitiesquasi-geostrophic equationstratified Lie groups\(\alpha\)-stable processessemi-groups

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

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Cites Work

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• Viscous vortex patches
• A maximum principle applied to quasi-geostrophic equations
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

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