Long time behavior of solutions of an electroconvection model in \(\mathbb{R}^2\)

DOI10.1007/s00028-024-00944-zarXiv2207.06510OpenAlexW4391722932MaRDI QIDQ6195222

Elie Abdo, Mihaela Ignatova

Publication date: 16 February 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06510

zbMATH Keywords

nonlinearlong time dynamicsnonlocalelectroconvection

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Motion of charged particles (78A35)

Cites Work

• On some electroconvection models
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• On questions of decay and existence for the viscous Camassa-Holm equations
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• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
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• Asymptotic Behavior to Dissipative Quasi-Geostrophic Flows
• Pointwise Decay of Solutions and of Higher Derivatives to Navier--Stokes Equations
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• Uniform decay rates for parabolic conservation laws
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
• Long time dynamics of a model of electroconvection
• Singular integrals

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