On blow-up criteria for a class of nonlinear dispersive wave equations with dissipation
From MaRDI portal
Publication:1757409
DOI10.1007/s00605-017-1102-6zbMath1406.35067OpenAlexW2763339542MaRDI QIDQ1757409
Publication date: 4 January 2019
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-017-1102-6
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Initial value problems for higher-order hyperbolic equations (35L30) Blow-up in context of PDEs (35B44) Higher-order quasilinear hyperbolic equations (35L77)
Related Items
A note on blow-up criteria for a class of nonlinear dispersive wave equations with dissipation ⋮ A new blow-up criterion for the \(N - abc\) family of Camassa-Holm type equation with both dissipation and dispersion ⋮ Global well-posedness and infinite propagation speed for the N − abc family of Camassa–Holm type equation with both dissipation and dispersion ⋮ Blow-up criteria for modified two-component generalization of hyper-elastic rod equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient
- Wave breaking and propagation speed for the Camassa-Holm equation with \(\kappa \neq 0\)
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm equation
- Global conservative solutions of the generalized hyperelastic-rod wave equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Wave breaking for a periodic shallow water equation.
- Special issue on the occasion of the 50th volume
- Breakdown of a shallow water equation
- Well-posedness, global solutions and blow up phenomena for a nonlinearly dispersive wave equation
- Local-in-space blow-up criteria for a class of nonlinear dispersive wave equations
- The Cauchy problem for an integrable shallow-water equation
- Classical solutions of the periodic Camassa-Holm equation.
- Wave breaking for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Blowup issues for a class of nonlinear dispersive wave equations
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- On permanent and breaking waves in hyperelastic rods and rings
- On the scattering problem for the Camassa-Holm equation
- Finite propagation speed for the Camassa–Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Long-time Asymptotics for the Camassa–Holm Equation
- Variational derivation of the Camassa-Holm shallow water equation
- Wave Breaking and Persistence Properties for the Dispersive Rod Equation
- A shallow water equation on the circle
- On the geometric approach to the motion of inertial mechanical systems
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- A Variational Approach to the Stability of Periodic Peakons
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- The Cauchy problem for the generalized hyperelastic rod wave equation
- Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
- Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation
- Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
- Compactly Supported Solutions of the Camassa-Holm Equation
- Local well‐posedness and blow‐up criteria of solutions for a rod equation