Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation

DOI10.1007/s00209-015-1517-5zbMath1339.35092OpenAlexW1668917309MaRDI QIDQ897508

Yue Liu, Guilong Gui

Publication date: 7 December 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-015-1517-5

zbMATH Keywords

dissipative Camassa-Holm equationfractal Burgers equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (6)

Zero-filter limit for the Camassa-Holm equation in Sobolev spaces ⋮ Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier-Stokes-\(\alpha\) equation in \(\mathbb{R}^3\) ⋮ Large time behavior and convergence for the Camassa-Holm equations with fractional Laplacian viscosity ⋮ The Cauchy problem for generalized fractional Camassa-Holm equation in Besov space ⋮ Global well-posedness for the two-component Camassa–Holm equation with fractional dissipation ⋮ The Cauchy problem for fractional Camassa-Holm equation in Besov space

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