Volume 27, 2021
Special issue in the 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: firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.