Decay Asymptotics of the Viscous Camassa–Holm Equations in the Plane

DOI10.1137/070684070zbMath1157.35453arXivmath/0703095OpenAlexW2031988019MaRDI QIDQ3617208

Clayton Bjorland

Publication date: 27 March 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703095

zbMATH Keywords

vorticitydecayNavier-Stokes-\(\alpha\)Camassa-Holm

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (7)

On the large time behavior of solutions of the alpha Navier-Stokes equations ⋮ Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier-Stokes-\(\alpha\) equation in \(\mathbb{R}^3\) ⋮ Decay characterization of solutions to the viscous Camassa–Holm equations ⋮ Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations ⋮ Large time behavior and convergence for the Camassa-Holm equations with fractional Laplacian viscosity ⋮ On the viscous Camassa-Holm equations with fractional diffusion ⋮ The existence of solution for viscous Camassa-Holm equations on bounded domain in five dimensions

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