Gevrey class regularity for the viscous Camassa-Holm equations

DOI10.1016/j.aml.2004.07.026zbMath1122.35116OpenAlexW1982335383MaRDI QIDQ2484676

Yong-Jiang Yu, Kai-Tai Li

Publication date: 1 August 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.07.026

zbMATH Keywords

Stokes operatorGevrey regularityViscous Camassa-Holm equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Analyticity in context of PDEs (35A20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations ⋮ A simple method and its applications to nonlinear partial differential equations ⋮ Existence of solutions and Gevrey class regularity for Leray-alpha equations

Cites Work

• Gevrey class regularity for the solutions of the Navier-Stokes equations
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• The Navier-Stokes-alpha model of fluid turbulence
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
• Unnamed Item

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