Thisarticleisconcernedwiththeasymptoticbehaviorofthetwo-dimensionalinviscid 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.
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation
Roberta Bianchini;Roberto Natalini
2021
Abstract
Thisarticleisconcernedwiththeasymptoticbehaviorofthetwo-dimensionalinviscid 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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
