On the blow-up of solutions to a nonlinear dispersive rod equation
From MaRDI portal
Publication:855448
DOI10.1016/j.jmaa.2005.11.050zbMath1160.35528OpenAlexW2054247267MaRDI QIDQ855448
Publication date: 7 December 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.050
Related Items
A note on blow-up criteria for a class of nonlinear dispersive wave equations with dissipation ⋮ Global Dissipative Solutions of the Generalized Camassa-Holm Equation ⋮ Blow-up issues for the hyperelastic rod equation ⋮ On permanent and breaking waves in hyperelastic rods and rings ⋮ Blow-up of solutions to a novel two-component rod system ⋮ Blow-up criteria of solutions for a modified two-component hyperelastic rod system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up of solutions to a nonlinear dispersive rod equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Stability of a class of solitary waves in compressible elastic rods
- Wave breaking for nonlinear nonlocal shallow water equations
- On the Cauchy problem for the periodic Camassa-Holm equation
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Geodesic flow on the diffeomorphism group of the circle
- Global weak solutions for a shallow water equation
- A blow-up result for the periodic Camassa-Holm equation
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- Model equations for long waves in nonlinear dispersive systems
- Local well‐posedness and blow‐up criteria of solutions for a rod equation
