| Issue |
ESAIM: COCV
Volume 27, 2021
Special issue in honor of Enrique Zuazua's 60th birthday
|
|
|---|---|---|
| Article Number | 43 | |
| Number of page(s) | 16 | |
| DOI | https://doi.org/10.1051/cocv/2021045 | |
| 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,
00185
Rome, Italy.
* Corresponding author: roberta.bianchini@cnr.it
Received:
18
September
2020
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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