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Abstract We prove the global well-posedness of the strong solution to the two-dimensional inhomogeneous incompressible primitive equations for initial data with small H 1 2 -norm, which also satisfies a… Click to show full abstract
Abstract We prove the global well-posedness of the strong solution to the two-dimensional inhomogeneous incompressible primitive equations for initial data with small H 1 2 -norm, which also satisfies a natural compatibility condition. A logarithmic type Sobolev embedding inequality for the anisotropic L x ∞ L z 2 ( Ω ) norm is established to obtain the global in time a priori H 1 ( Ω ) ∩ W 1 , 6 ( Ω ) estimate of the density, which guarantee the local solution to be a global one.
Keywords:
incompressible primitive;
strong solutions;
global well;
primitive equations;
well posedness;
posedness strong
Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!