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

Quansen Jiu; Lin Ma; Fengchao Wang

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arXiv · 2404.17112

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

Quansen Jiu·Lin Ma·Fengchao Wang

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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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Quansen Jiu, Lin Ma, Fengchao Wang. 2024-04-26. Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity. https://arxiv.org/abs/2404.17112

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