On a nonlinear initial boundary-value problem of meteorology

DOI10.1016/0022-247X(84)90266-XzbMath0558.35016MaRDI QIDQ762688

Bui An Ton

Publication date: 1984

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

zbMATH Keywords

existenceunique local solutionshallow waterwater wavesnonlinear initial boundary-value problemanalytic in the spaceatmospheric processesnonhomogeneous fluids

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Boundary value problems for nonlinear higher-order PDEs (35G30) Meteorology and atmospheric physics (86A10) Geophysics (86A99)

Cites Work

• On the Euler equations for nonhomogeneous fluids
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters
• On the Existence and Uniqueness of a Local Classical Solution of an Initial Boundary-Value Problem for Incompressible Nonhomogeneous Viscous Fluids
• SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE
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