A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law
From MaRDI portal
Publication:525514
DOI10.3934/dcds.2017052zbMath1372.35075OpenAlexW2514314660MaRDI QIDQ525514
Lorenzo di Ruvo, Giuseppe Maria Coclite
Publication date: 5 May 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017052
Wave equation (35L05) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items
On the Cauchy problem for a higher-order \(\mu\)-Camassa-Holm equation ⋮ On \(H^2\)-solutions for a Camassa-Holm type equation ⋮ Decay property of solutions near the traveling wave solutions for the second-order Camassa-Holm equation ⋮ Blow-up solution near the traveling waves for the second-order Camassa-Holm equation ⋮ Traveling solutions and evolution properties of the higher order Camassa-Holm equation
Cites Work
- Unnamed Item
- Unnamed Item
- A note on the convergence of the solutions of the Camassa-Holm equation to the entropy ones of a scalar conservation law
- A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation
- A singular limit problem for conservation laws related to the Kawahara equation
- A singular limit problem for the Rosenau-Korteweg-de Vries-regularized long wave and Rosenau-regularized long wave equations
- A singular limit problem for the Ibragimov-Shabat equation
- Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations
- A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation
- Convergence of the Kuramoto-Sinelshchikov equation to the Burgers one
- Some nonlinear dispersive waves arising in compressible hyperelastic plates
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Singular limit problem of the Camassa-Holm type equation
- Dispersive and diffusive limits for Ostrovsky-Hunter type equations
- The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
- Stability of a class of solitary waves in compressible elastic rods
- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- On the inverse spectral problem for the Camassa-Holm equation
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Algebro-geometric solutions of the Camassa-Holm hierarchy
- Geodesic flow on the diffeomorphism group of the circle
- Well-posedness of higher-order Camassa-Holm equations
- Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
- Convergence results related to the modified Kawahara equation
- KINETIC DECOMPOSITION OF APPROXIMATE SOLUTIONS TO CONSERVATION LAWS: APPLICATION TO RELAXATION AND DIFFUSION-DISPERSION APPROXIMATIONS*
- Convergence of solutions to nonlinear dispersive equations without convexity conditions
- Convergence of solution to nonlinear dispersive equations
- The zero dispersion limit for the Korteweg-deVries KdV equation
- Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Convergence of the regularized short pulse equation to the short pulse one
- CONVERGENCE OF THE SOLUTIONS ON THE GENERALIZED KORTEWEG–DE VRIES EQUATION∗
- A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
- On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation
- Front tracking for hyperbolic conservation laws
