On measures of accretion and dissipation for solutions of the Camassa–Holm equation
DOI10.1142/S0219891617500242zbMath1386.35271arXiv1611.10129OpenAlexW2962901623WikidataQ115245212 ScholiaQ115245212MaRDI QIDQ4595810
Publication date: 6 December 2017
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.10129
weak solutiongeneralized characteristicsdissipative solutionCamassa-Holmmeasure of dissipationmeasure of accretion
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hyperbolic conservation laws (35L65)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lipschitz metric for the Camassa-Holm equation on the line
- Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics
- Lipschitz metric for the periodic Camassa-Holm equation
- Maximal dissipation in equations of evolution
- Transfer of energy in Camassa-Holm and related models by use of nonunique characteristics
- Dissipative solutions for the Camassa-Holm equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm equation
- An optimal transportation metric for solutions of the Camassa-Holm equation
- Maximal dissipation in Hunter-Saxton equation for bounded energy initial data
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- On the substitution rule for Lebesgue-Stieltjes integrals
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- Traveling wave solutions of the Camassa-Holm equation
- On the weak solutions to a shallow water equation
- GENERALIZED CHARACTERISTICS AND THE HUNTER–SAXTON EQUATION
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Classification of all travelling-wave solutions for some nonlinear dispersive equations
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM
This page was built for publication: On measures of accretion and dissipation for solutions of the Camassa–Holm equation