Well-posedness and blow-up phenomena for a higher order shallow water equation
type: Item
instance of: scholarly article
title: Well-posedness and blow-up phenomena for a higher order shallow water equation
zbMATH Open document ID: 1252.35092
author: Shouming Zhou
author: Rong Zeng
author: Chunlai Mu
published in: Journal of Differential Equations
publication date: 2011-10-21T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5961163
zbMATH Keywords: global existence
zbMATH Keywords: one space dimension
MaRDI profile type: Publication
full work available at URL: j.jde.2011.08.020
OpenAlex ID: W2049338519
cites work: Large time existence for 3D water waves and asymptotics
cites work: Acoustic scattering and the extended Korteweg-de Vries hierarchy
cites work: Riemann-Hilbert approach for the Camassa-Holm equation on the line
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: Well-posedness of higher-order Camassa-Holm equations
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: On the scattering problem for the Camassa-Holm equation
cites work: The trajectories of particles in Stokes waves
cites work: Q4225587
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Global weak solutions for a shallow water equation
cites work: Q4253188
cites work: Analyticity of periodic traveling free surface water waves with vorticity
cites work: Inverse scattering transform for the Camassa–Holm equation
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Stability of peakons
cites work: Stability of the Camassa-Holm solitons
cites work: Stability of a class of solitary waves in compressible elastic rods
cites work: Inverse scattering transform for the Degasperis–Procesi equation
cites work: On the well-posedness of the Degasperis-Procesi equation
cites work: Q4829972
cites work: Q4508328
cites work: Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
cites work: On asymptotically equivalent shallow water wave equations
cites work: Global weak solutions and blow-up structure for the Degasperis-Procesi equation
cites work: Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
cites work: Well-posedness, blow-up phenomena, and global solutions for the b-equation
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: Global existence and blow-up phenomena for the peakon $b$-family of equations
cites work: Compactly Supported Solutions of the Camassa-Holm Equation
cites work: Infinite propagation speed for the Degasperis-Procesi equation
cites work: Q3514031
cites work: Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
cites work: Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
cites work: Water waves and integrability
cites work: Poisson brackets in hydrodynamics
cites work: Q4075341
cites work: Commutator estimates and the euler and navier-stokes equations
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: Global solutions and blow-up phenomena to a shallow water equation
cites work: Conservation laws of the Camassa–Holm equation
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: On discreteness of the Hopf equation
cites work: Global existence and blow-up phenomena for the Degasperis-Procesi equation
cites work: Stability of peakons for the Degasperis-Procesi equation
cites work: Formation and dynamics of shock waves in the Degasperis-Procesi equation
cites work: Multi-peakon solutions of the Degasperis–Procesi equation
cites work: Q3895938
cites work: Well-posedness of modified Camassa-Holm equations
cites work: Perturbative symmetry approach
cites work: Wave breaking and propagation speed for a class of nonlocal dispersive \(\theta \)-equations
cites work: Blow-up phenomena and global existence for the nonuniform weakly dissipative \(b\)-equation
cites work: On the Cauchy problem for the Camassa-Holm equation
cites work: Q4424456
cites work: Stokes waves
cites work: Periodic and solitary-wave solutions of the Degasperis-Procesi equation
cites work: Q4151274
cites work: On the weak solutions to a shallow water equation.
cites work: Global solutions to a new integrable equation with peakons

Well-posedness and blow-up phenomena for a higher order shallow water equation (cites work)
cites work: On the Cauchy problem for an integrable equation with peakon solutions

Well-posedness and blow-up phenomena for a higher order shallow water equation (cites work)
cites work: Global weak solutions for a new periodic integrable equation with peakon solutions

Well-posedness and blow-up phenomena for a higher order shallow water equation (DOI)
DOI: 10.1016/J.JDE.2011.08.020