Volume 27, 2021
Special issue in honor of Enrique Zuazua's 60th birthday
|Number of page(s)||16|
|Published online||11 May 2021|
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation
IAC, Consiglio Nazionale delle Ricerche,
* Corresponding author: email@example.com
Accepted: 17 April 2021
This article deals 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.
Mathematics Subject Classification: 35Q35 / 35B40
Key words: Stratified fluids / Boussinesq approximation / Green function analysis / dispersion relation homogeneous of degree 0 / anisotropic decay rates
© EDP Sciences, SMAI 2021
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