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- W4300894759 abstract "We study the vortex patch problem for $2d-$stratified Navier-Stokes system. We aim at extending several results obtained in cite{ad,danchinpoche,hmidipoche} for standard Euler and Navier-Stokes systems. We shall deal with smooth initial patches and establish global strong estimates uniformly with respect to the viscosity in the spirit of cite{HZ-poche, Z-poche}. This allows to prove the convergence of the viscous solutions towards the inviscid one. In the setting of a Rankine vortex, we show that the rate of convergence for the vortices is optimal in $L^p$ space and is given by $(mu t)^{frac{1}{2p}}$. This generalizes the result of cite{ad} obtained for $L^2$ space." @default.
- W4300894759 created "2022-10-04" @default.
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- W4300894759 date "2017-02-17" @default.
- W4300894759 modified "2023-09-27" @default.
- W4300894759 title "Optimal rate of convergence in Stratified Boussinesq system" @default.
- W4300894759 doi "https://doi.org/10.48550/arxiv.1702.05302" @default.
- W4300894759 hasPublicationYear "2017" @default.
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