Blow-up criteria for modified two-component generalization of hyper-elastic rod equation
From MaRDI portal
Publication:5867316
DOI10.1080/00036811.2021.1889522zbMath1497.35066OpenAlexW3132597151MaRDI QIDQ5867316
Publication date: 14 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1889522
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) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system
- Wave breaking of the Camassa-Holm equation
- 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 \(\kappa \neq 0\)
- On the Cauchy problem for the two-component Camassa-Holm system
- Global weak solutions for a two-component Camassa-Holm shallow water system
- On an integrable two-component Camassa-Holm shallow water system
- Wave breaking for a modified two-component Camassa-Holm system
- Blow-up criteria of solutions to a modified two-component Camassa-Holm system
- Two-component integrable systems modelling shallow water waves: the constant vorticity case
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm equation
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- 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
- Breakdown of a shallow water equation
- On blow-up criteria for a class of nonlinear dispersive wave equations with dissipation
- 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
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Local-in-space blow-up and symmetric waves for a generalized two-component Camassa-Holm system
- Local-in-space blow-up criteria for two-component nonlinear dispersive wave system
- Blowup issues for a class of nonlinear dispersive wave equations
- On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Well-posedness and blow-up phenomena for the 2-component 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
- Two-component generalizations of the Camassa–Holm equation
- Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
- Finite propagation speed for the Camassa–Holm equation
- Stability of Solitary Waves and Global Existence of a Generalized Two-Component Camassa–Holm System
- On the Blow-Up Scenario for the Generalized 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
- Long-time Asymptotics for the Camassa–Holm Equation
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- The Cauchy problem for the 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
