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On analyticity up to the boundary for critical quasi-geostrophic equations

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 Added by Tsukasa Iwabuchi
 Publication date 2021
  fields
and research's language is English




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We study the Cauchy problem for the quasi-geostrophic equations with the critical dissipation in the two dimensional half space under the homogeneous Dirichlet boundary condition. We show the global existence, the uniqueness and the analyticity of solutions, and the real analyticity up to the boundary is obtained. We will show one of natural ways to estimate the nonlinear term for functions satisfying the Dirichlet boundary condition.



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