Global weak solutions and wave breaking phenomena to the periodic Degasperis-Procesi equation with strong dispersion
From MaRDI portal
Publication:732559
DOI10.1016/j.na.2009.04.012zbMath1180.35162OpenAlexW1971181155MaRDI QIDQ732559
Publication date: 9 October 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.04.012
first integralsone spatial dimensionnonlinear third-order conservation lawsperiodic initial-boundary problemperiodic peakon and shock-peakon
Related Items
A simple method and its applications to nonlinear partial differential equations, Limit behavior of the global solutions to the Degasperis-Procesi-type equation, Limiting behavior of travelling waves for the modified Degasperis-Procesi equation, Orbital stability of peakons for the Degasperis-Procesi equation with strong dispersion, Global weak solutions and breaking waves to the Degasperis-Procesi equation with linear dispersion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Global conservative solutions of the Camassa-Holm equation
- On geodesic exponential maps of the Virasoro group
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- On the Cauchy problem for the periodic Camassa-Holm equation
- Global existence for a new periodic integrable equation.
- On the Cauchy problem for an integrable equation with peakon solutions
- Geodesic flow on the diffeomorphism group of the circle
- On the blow-up of solutions of a periodic shallow water equation
- Global weak solutions for a shallow water equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Global weak solutions for a new periodic integrable equation with peakon solutions
- 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
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- A shallow water equation on the circle
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Global solutions to a new integrable equation with peakons
- Particle trajectories in solitary water waves
- On the Blow-up Phenomena for the Degasperis-Procesi Equation