Boundary layer and asymptotic stability for the Navier–Stokes–Poisson equations with nonslip boundary conditions

Wang, Yan-Lin

doi:10.4310/cms.2021.v19.n4.a5

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Boundary Layer Expansion1

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2022

2024

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Cited by 2 publications

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“…(u 0 , p 0 , θ 0 ), (U 0 , P 0 , Θ 0 ) are solved. Following the standard method on constructing approximate solution by boundary layer expansion (see [27,56,58] and the references therein for example), one can obtain the terms (u i , p i , θ i ) and (U i , P i , Θ i ) order by order. Then we conclude that the approximate solutions (u a , p a , θ a ) for (1.1) can be expressed in the form…”

Section: Boundary Layer Expansionmentioning

confidence: 99%

Zero-viscosity Limit for Boussinesq Equations with Vertical Viscosity and Navier Boundary in the Half Plane

Li¹,

Wang²

2022

Preprint

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In this paper we study the zero-viscosity limit of 2-D Boussinesq equations with vertical viscosity and zero diffusivity, which is a nonlinear system with partial dissipation arising in atmospheric sciences and oceanic circulation. The domain is taken as R 2 + with Navier-type boundary. We prove the nonlinear stability of the approximate solution constructed by boundary layer expansion in conormal Sobolev space. The optimal expansion order and convergence rates for the inviscid limit are also identified in this paper. Our paper extends the partial zero-dissipation limit results of Boussinesq system with full dissipation by Chae D.

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Section: Boundary Layer Expansionmentioning

confidence: 99%