Global existence and blow-up phenomena for a weakly dissipative periodic 2-component Camassa-Holm system
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Publication:2851725
DOI10.1063/1.3644346zbMath1272.35161OpenAlexW2012496761MaRDI QIDQ2851725
Publication date: 2 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3644346
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
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On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations ⋮ On blow-up of solutions to a weakly dissipative two-component Camassa-Holm system ⋮ Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion ⋮ Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system ⋮ Blow-up for a weakly dissipative modified two-component Camassa–Holm system ⋮ On the blow-up of solutions of a weakly dissipative modified two-component periodic Camassa-Holm system ⋮ The properties of solutions to the dissipative 2-component Camassa–Holm system ⋮ The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system ⋮ Wave breaking and global existence for a weakly dissipative generalized two-component \(\mu\)-Hunter-Saxton system ⋮ Global existence of weak solutions to a weakly dissipative modified two-component Dullin-Gottwald-Holm system
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