Blow-up phenomena and persistence property for the modified b-family of equations
From MaRDI portal
Publication:729900
DOI10.1016/j.jde.2016.09.027zbMath1357.35062OpenAlexW2554212938MaRDI QIDQ729900
Publication date: 22 December 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.027
PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)
Related Items (3)
PEAKON AND CUSPON SOLUTIONS OF A GENERALIZED CAMASSA-HOLM-NOVIKOV EQUATION ⋮ Blow-up issues for a two-component system modelling water waves with constant vorticity ⋮ EXPLICIT PEAKON SOLUTIONS TO A FAMILY OF WAVE-BREAKING EQUATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation
- Analyticity of periodic traveling free surface water waves with vorticity
- On the well-posedness of the Degasperis-Procesi equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- The trajectories of particles in Stokes waves
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- On a class of physically important integrable equations
- 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
- The Cauchy problem for an integrable shallow-water equation
- A few remarks on the Camassa-Holm equation.
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Stability of the Camassa-Holm solitons
- Wave-breaking and peakons for a modified Camassa-Holm equation
- 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
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- Breakdown for the Camassa–Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
- Particle trajectories in extreme Stokes waves
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Global existence and blow-up phenomena for the peakon $b$-family of equations
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- On the blow-up of solutions to the integrable modified Camassa–Holm equation
- Analysis on the blow-up of solutions to a class of integrable peakon equations
This page was built for publication: Blow-up phenomena and persistence property for the modified b-family of equations