Global classical solutions of the Cauchy problems for nonlinear vorticity equations and its applications

zbMath0656.76023MaRDI QIDQ1110401

Mu Mu

Publication date: 1987

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

uniquenessSchauder's fixed point theoremglobal existenceCauchy problemsclassical solutionscompact Riemannian manifolda-priori estimatesbarotropic nondivergent model of atmospheric dynamicsnonlinear vorticity equationsselfadjoint second-order elliptic operator

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Meteorology and atmospheric physics (86A10) Initial value problems for nonlinear higher-order PDEs (35G25)

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