On the backwards behavior of the solutions of the 2D periodic viscous Camassa-Holm equations

DOI10.1023/A:1012963327420zbMath1007.35076OpenAlexW1571904656MaRDI QIDQ5957843

Jesenko Vukadinović

Publication date: 13 March 2002

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012963327420

zbMATH Keywords

energyHilbert spaceinitial dataenstrophyperiodic two-dimensional viscous Camassa-Holm equationsvector-valued divergence-free trigonometric polynomialsvorticity quotients

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Incompressible viscous fluids (76D99)

Related Items (6)

Stochastic Euler-Poincaré reduction ⋮ On the behavior of the Lorenz equation backward in time ⋮ On backward-time behavior of the solutions to the 2-D space periodic Navier-Stokes equations ⋮ Backward behavior of solutions of the Kuramoto-Sivashinsky equation ⋮ The existence of solution for viscous Camassa-Holm equations on bounded domain in five dimensions ⋮ On the backward behavior of some dissipative evolution equations

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