Global existence and blow-up phenomena for the weakly dissipative Camassa–Holm equation

2009/01/19 by Shuyin Wu, Zhaoyang Yin · 7 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Nonlinear Photonic Systems

paper · doi:10.1016/j.jde.2008.12.008

Citations

• Global Conservative Solutions of the Camassa–Holm Equation
• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Wave breaking for nonlinear nonlocal shallow water equations

Cited by

• On the weakly dissipative Camassa–Holm, Degasperis–Procesi, and Novikov equations
• Damping-Diffusion-Noise Interactions in the Stochastic Camassa-Holm Equation
• On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov\n equations
• New results on the global solvability and blow-up for a class of weakly dissipative Camassa-Holm equations
• Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space
• Existence and uniqueness of global weak solutions to a generalized Camassa-Holm equation
• Global weak solutions to a weakly dissipative μHS equation