Blow-up issues for a two-component system modelling water waves with constant vorticity
type: Item
instance of: scholarly article
title: Blow-up issues for a two-component system modelling water waves with constant vorticity
zbMATH Open document ID: 1392.35239
author: Ying Wang
author: Min Zhu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2018-05-09T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35D35
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6867205
zbMATH Keywords: two-component water wave system
zbMATH Keywords: blow-up scenario
zbMATH Keywords: propagation speed
MaRDI profile type: Publication
full work available at URL: j.na.2018.02.010
OpenAlex ID: W2795056360
cites work: Local-in-space criteria for blowup in shallow water and dispersive rod equations
cites work: Blowup issues for a class of nonlinear dispersive wave equations
cites work: On permanent and breaking waves in hyperelastic rods and rings
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
cites work: A two-component generalization of the Camassa-Holm equation and its solutions
cites work: On the well-posedness of the Degasperis-Procesi equation
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: On the blow-up of solutions of a periodic shallow water equation
cites work: Finite propagation speed for the Camassa–Holm equation
cites work: Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
cites work: Q4225587
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Q4253188
cites work: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
cites work: Inverse scattering transform for the Camassa–Holm equation
cites work: On an integrable two-component Camassa-Holm shallow water system
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: A shallow water equation on the circle
cites work: Blow-up for theb-family of equations
cites work: Q4829972
cites work: Q4508328
cites work: Two-component equations modelling water waves with constant vorticity
cites work: Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
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: Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
cites work: Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
cites work: On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
cites work: On the Cauchy problem for the two-component Camassa-Holm system
cites work: Global existence and blow-up phenomena for the peakon $b$-family of equations
cites work: Well-posedness and analytic solutions of a two-component water wave equation
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: PERSISTENCE PROPERTIES FOR THE DEGASPERIS–PROCESI EQUATION
cites work: Infinite propagation speed for a two component Camassa-Holm equation
cites work: Q3400191
cites work: Persistence properties for a family of nonlinear partial differential equations
cites work: The Cauchy problem for an integrable shallow-water equation
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: Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
cites work: Water waves and integrability
cites work: Two-component integrable systems modelling shallow water waves: the constant vorticity case
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: Global existence and blow-up phenomena for the Degasperis-Procesi equation
cites work: On the Cauchy problem of a two-component b-family system
cites work: Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
cites work: Formation and dynamics of shock waves in the Degasperis-Procesi equation
cites work: A Note on the Degasperis-Procesi Equation
cites work: Blow-up phenomena and persistence property for the modified b-family of equations
cites work: Blow-up solutions for the modified b-family of equations
cites work: Well-posedness, blow up, and global existence for an integrable shallow water equation
cites work: Blow-up of solutions to the periodic generalized modified Camassa-Holm equation with varying linear dispersion
cites work: On the Cauchy problem for the two-component \(b\)-family system

Blow-up issues for a two-component system modelling water waves with constant vorticity (cites work)
cites work: Blow-up of solutions to the periodic modified Camassa-Holm equation with varying linear dispersion

Blow-up issues for a two-component system modelling water waves with constant vorticity (cites work)
cites work: On the blow-up of solutions to the periodic modified integrable Camassa-Holm equation

Blow-up issues for a two-component system modelling water waves with constant vorticity (cites work)
cites work: Properties of the solutions to the two-component \(b\)-family systems

Blow-up issues for a two-component system modelling water waves with constant vorticity (Wikidata QID)
Wikidata QID: Q130111594

Blow-up issues for a two-component system modelling water waves with constant vorticity (DOI)
DOI: 10.1016/J.NA.2018.02.010