Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation-Reference-Cited by-同舟云学术

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Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation

Published:2023-12-08 Issue:1 Volume:248 Page:
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Bianchini Roberta^ORCID,Crin-Barat Timothée,Paicu Marius

Funder

ERC

Gruppo Nazionale per l’Analisi Matematica, la Probabilitá e le loro Applicazioni

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00205-023-01945-x.pdf

Reference36 articles.

1. Beauchard, K., Zuazua, E.: Large time asymptotics for partially dissipative hyperbolic systems. Arch. Rational Mech. Anal 199, 177–227, 2011

2. Bianchini, R., Dalibard, A.-L., Saint-Raymond, L.: Near-critical reflection of internal waves. Anal. PDE 14(1), 205–249, 2021

3. Bianchini R. Natalini, R. Asymptotic behavior of 2d stably stratified fluids with a damping term in the velocity equation. ESAIM: COCV, 27 (2021)

4. Bianchini, S., Hanouzet, B., Natalini, R.: Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Comm. Pure and Appl. Math. 60, 1559–1622, 2007

5. Bony, J.-M.: Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Ann. Sci. École Norm. Sup. 4(14), 209–246, 1981

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantitative asymptotic stability of the quasi-linearly stratified densities in the IPM equation with the sharp decay rates;Journal of Functional Analysis;2024-06

2. Quantitative derivation of a two-phase porous media system from the one-velocity Baer–Nunziato and Kapila systems;Nonlinearity;2024-05-20

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