Large time behavior for the support of momentum density of the Holm-Staley \(b\)-family equation with weakly dissipative term
From MaRDI portal
Publication:2289753
DOI10.1016/j.nonrwa.2019.103069zbMath1430.35056OpenAlexW2992636944MaRDI QIDQ2289753
Mingxuan Zhu, Lu Cao, Zaihong Jiang
Publication date: 24 January 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.103069
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Ill-posedness for the \(b\)-family of equations
- The properties of solutions for a generalized \(b\)-family equation with peakons
- The Hölder continuity of the solution map to the \(b\)-family equation in weak topology
- Some properties of solutions to the weakly dissipative \(b\)-family equation
- Continuity properties of the data-to-solution map for the periodic \(b\)-family equation.
- Non-uniform continuity of periodic Holm-Staley \(b\)-family of equations
- Wave breaking of the Camassa-Holm equation
- Global weak solutions to the weakly dissipative Degasperis-Procesi equation
- Blow-up phenomena and global existence for the nonuniform weakly dissipative \(b\)-equation
- On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Global conservative solutions of the Camassa-Holm equation
- Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
- Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
- Wave breaking for nonlinear nonlocal shallow water equations
- Breakdown of a shallow water equation
- Traveling wave solutions of the Degasperis-Procesi equation
- On a new two-component \(b\)-family peakon system with cubic nonlinearity
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Global solutions to a special case of the generalized weakly dissipative periodic two-component Camassa-Holm system
- Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics
- The dependences on initial data for the b-family equation in critical Besov space
- Blow-up phenomenon for the integrable Degasperis-Procesi equation
- Global existence and blow-up phenomena for the 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 weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations
- Maximum principle for optimal distributed control of viscous weakly dispersive Degasperis-Procesi equation
- Dressing Method for the Degasperis-Procesi Equation
- Blow-up for theb-family of equations
- Global solutions and blow-up phenomena for the periodic b -equation
- On solutions to the Holm–Staleyb-family of equations
- Inverse scattering transform for the Camassa–Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Blow up, global existence, and infinite propagation speed for the weakly dissipative Camassa–Holm equation
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Conservation laws of the Camassa–Holm equation
- A Note on the Degasperis-Procesi Equation
- Large time behavior for the support of momentum density of the Camassa-Holm equation
This page was built for publication: Large time behavior for the support of momentum density of the Holm-Staley \(b\)-family equation with weakly dissipative term
