Lipschitz metric for conservative solutions of the two-component Camassa-Holm system
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Publication:2358952
DOI10.1007/s00033-016-0747-7zbMath1365.35133OpenAlexW4250011611MaRDI QIDQ2358952
Yannan Shen, Hong Cai, Geng Chen
Publication date: 27 June 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-016-0747-7
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60)
Related Items (5)
Continuous dependence on data under the Lipschitz metric for the rotation-Camassa-Holm equation ⋮ Energy conservation and well-posedness of the Camassa-Holm equation in Sobolev spaces ⋮ Uniqueness of conservative solutions to the modified two-component Camassa-Holm system via characteristics ⋮ Lipschitz metric for conservative solutions of the modified two-component Camassa-Holm system ⋮ Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin-Gottwald-Holm system
Cites Work
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- Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Lipschitz metric for the Novikov equation
- Lipschitz metrics for a class of nonlinear wave equations
- Global Solutions for the Two-Component Camassa–Holm System
- Generic Regularity of Conservative Solutions to Camassa--Holm Type Equations
- Periodic conservative solutions for the two-component Camassa-Holm system
- A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM
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