Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity

2024/04/26 by Quansen Jiu, Lin Ma, Jiu, Quansen +3
Mathematics · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2404.17112

Abstract

In this paper, we consider the initial-boundary value problem of the nonhomogeneous primitive equations with density-dependent viscosity. Local well-posedness of strong solutions is established for this system with a natural compatibility condition. The initial density does not need to be strictly positive and may contain vacuum. Meanwhile, we also give the corresponding blow-up criterion if the maximum existence interval with respect to the time is finite.

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