Wave breaking and propagation speed for a class of one-dimensional shallow water equations

DOI10.1155/2011/647368zbMath1230.35101OpenAlexW2046367595WikidataQ58654379 ScholiaQ58654379MaRDI QIDQ657149

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/647368

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Blow-up in context of PDEs (35B44)

Related Items (3)

A new blow-up criterion for the DGH equation ⋮ Blowup phenomena for a modified Dullin-Gottwald-Holm shallow water system ⋮ On the Cauchy problem for a class of weakly dissipative one-dimensional shallow water equations

Cites Work

Unnamed Item
Unnamed Item
Wave breaking of the Camassa-Holm equation
Analyticity of periodic traveling free surface water waves with vorticity
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
The trajectories of particles in Stokes waves
Global conservative solutions of the Camassa-Holm equation
Global solutions and blow-up phenomena to a shallow water equation
Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
Stokes waves
Wave breaking for a periodic shallow water equation.
Breakdown of 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
Stability of solitary waves for a rod equation
Wave breaking for a shallow water equation
Existence of permanent and breaking waves for a shallow water equation: a geometric approach
Blow-up phenomenon for the integrable Degasperis-Procesi equation
Persistence properties and unique continuation of solutions of the Camassa-Holm equation
Infinite propagation speed for the Degasperis-Procesi equation
On the weak solutions to a shallow water equation
Finite propagation speed for the Camassa–Holm equation
On solutions to the Holm–Staleyb-family of equations
Blow up, global existence, and infinite propagation speed for the weakly dissipative Camassa–Holm equation
Wave Breaking and Persistence Properties for the Dispersive Rod Equation
Stability of peakons
An integrable shallow water equation with peaked solitons
Camassa–Holm, Korteweg–de Vries and related models for water waves
A Note on the Degasperis-Procesi Equation
Local well‐posedness and blow‐up criteria of solutions for a rod equation

This page was built for publication: Wave breaking and propagation speed for a class of one-dimensional shallow water equations