Attractor for the viscous two-component Camassa-Holm equation
From MaRDI portal
Publication:425949
DOI10.1016/j.nonrwa.2011.09.005zbMath1239.35143OpenAlexW2070600124MaRDI QIDQ425949
Ying Xu, Jiangbo Zhou, Lixin Tian
Publication date: 10 June 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.09.005
Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items
Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation, The global attractor for a viscous weakly dissipative generalized two-component \(\mu\)-Hunter-Saxton system, Random attractor for a stochastic viscous coupled Camassa-Holm equation, Integral bifurcation method together with a translation-dilation transformation for solving an integrable 2-component Camassa-Holm shallow water system, On the global attractor of the two-component \(\pi\)-Camassa-Holm equation with viscous terms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for the two-component Camassa-Holm system
- Attractor for a viscous coupled Camassa-Holm equation
- On an integrable two-component Camassa-Holm shallow water system
- Global conservative solutions of the Camassa-Holm equation
- 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
- Initial boundary value problems for nonlinear dispersive wave equations
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- On asymptotically equivalent shallow water wave equations
- On the inverse scattering approach for an integrable shallow water wave equation
- Stability of the Camassa-Holm solitons
- An introduction to Navier-Stokes equation and oceanography.
- A two-component generalization of the Camassa-Holm equation and its solutions
- Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
- On the weak solutions to a shallow water equation
- Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
- Inverse scattering transform for the Camassa–Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- The existence of global attractors for a class of nonlinear dissipative evolution equations
- On the Cauchy problem for the Camassa-Holm equation
