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

DOI10.1051/cocv/2021045zbMath1473.35435arXiv2009.01578OpenAlexW3155808485MaRDI QIDQ4999565

Roberta Bianchini, Roberto Natalini

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01578

zbMATH Keywords

Boussinesq approximationstratified fluidsanisotropic decay ratesdispersion relation homogeneous of degree 0Green function analysis

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stratification effects in inviscid fluids (76B70) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain ⋮ Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation ⋮ On stability of Boussinesq equations without thermal conduction ⋮ Stratified Boussinesq equations with a velocity damping term ⋮ On asymptotic stability of the 3D Boussinesq equations with a velocity damping term

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