Global well-posedness and infinite propagation speed for the N − abc family of Camassa–Holm type equation with both dissipation and dispersion
From MaRDI portal
Publication:5140938
DOI10.1063/5.0010374zbMath1460.76118OpenAlexW3040536349MaRDI QIDQ5140938
Wen Zhu, Shi-you Lin, Zai-Yun Zhang, Chuang Xia Huang, Zhen-Hai Liu, You-Jun Deng
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0010374
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Cites Work
- Unnamed Item
- Blow-up of solutions for the dissipative Dullin-Gottwald-Holm equation with arbitrary coefficients
- The power series method for nonlocal and nonlinear evolution equations
- Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation
- The properties of solutions for a generalized \(b\)-family equation with peakons
- On blow-up phenomena for the weakly dissipative Camassa-Holm equation
- The Cauchy problem for the integrable Novikov equation
- On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient
- On well-posedness of the Degasperis-Procesi equation
- On the well-posedness of the Degasperis-Procesi equation
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Global existence and uniform decay for wave equation with dissipative term and boundary damping
- Wave breaking for nonlinear nonlocal shallow water equations
- On the Cauchy problem for an integrable equation with peakon solutions
- Breakdown of a shallow water equation
- On blow-up criteria for a class of nonlinear dispersive wave equations with dissipation
- Local-in-space blow-up criteria for a class of nonlinear dispersive wave equations
- Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion
- A new blow-up criterion for the \(N - abc\) family of Camassa-Holm type equation with both dissipation and dispersion
- Global weak solutions to the Novikov equation
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- The Cauchy problem for a 4-parameter family of equations with peakon traveling waves
- On the weak solutions to a shallow water equation
- A note on the Cauchy problem of the Novikov equation
- Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density
- Persistence properties and unique continuation for a generalized Camassa-Holm equation
- Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
- Global weak solutions for the Novikov equation
- Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation
- Blow-Up and Decay of the Solution of the Weakly Dissipative Degasperis–Procesi Equation
- Generalizations of the Camassa–Holm equation
- Well-posedness and global existence for the Novikov equation
- Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping
- On Solvability and Stabilization of a Class of Hyperbolic Hemivariational Inequalities in Elasticity
- Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation
- On the Blow-up Phenomena for the Degasperis-Procesi Equation
- The Cauchy problem for the Novikov equation
- The Cauchy problem for a generalized Camassa-Holm equation
- The Cauchy problem for the Novikov equation