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arXiv · 2009.01578

Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation

Roberta Bianchini·Roberto Natalini
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Abstract

This article is concerned with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations with a damping term in the velocity equation. Precisely, we provide the time-decay rates of the smooth solutions to that system. The key ingredient is a careful analysis of the Green kernel of the linearized problem in Fourier space, combined with bilinear estimates and interpolation inequalities for handling the nonlinearity.

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Roberta Bianchini, Roberto Natalini. 2021-04-23. Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation. https://arxiv.org/abs/2009.01578

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