The existence of weak solutions for a generalized Camassa-Holm equation

QR Code

The existence of weak solutions for a generalized Camassa-Holm equation

A Camassa-Holm type equation containing nonlinear dissipative effect is investigated. A sufficient condition which guarantees the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 <= s <= 3/2 is established by using the techniques of the pseudoparabolic regul...

Full description

Bibliographic Details
Main Authors:	Lai, S., Xie, Q., Guo, Y., Wu, Yong Hong
Format:	Journal Article
Published:	AIMsciences 2011
Online Access:	http://hdl.handle.net/20.500.11937/5397

Similar Items

The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)
by: Lai, S., et al.
Published: (2013)

Existence of weak solutions in lower order Sobolev space for a Camassa–Holm-type equation
by: Lai, S., et al.
Published: (2010)

A model containing both the Camassa–Holm and Degasperis–Procesi equations
by: Lai, S., et al.
Published: (2011)

The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system
by: Ming, Sen, et al.
Published: (2014)

Global conservative solutions of a generalized two-component Camassa-Holm system
by: Zhang, F., et al.
Published: (2014)

Global well-posedness for the viscous Camassa–Holm equation
by: LIM, W
Published: (2007)

On existence and uniqueness of the global weak solution for a shallow water equation
by: Guo, Y., et al.
Published: (2012)

The existence of global strong and weak solutions for the Novikov equation
by: Lai, Shaoyong, et al.
Published: (2013)

The study of global weak solutions for a generalized hyperelastic-rod wave equation
by: Lai, S., et al.
Published: (2013)

Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation
by: LI, R., et al.
Published: (2018)

On weak solutions to a shallow water wave model of moderate amplitude
by: Guo, Y., et al.
Published: (2015)

Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations
by: He, J., et al.
Published: (2018)

Existence and uniqueness of a positive solution to singular fractional differential equations
by: Wang, Y., et al.
Published: (2012)

The global weak solution for the shallow water wave model of moderate amplitude
by: Guo, Y., et al.
Published: (2017)

Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

On existence and uniqueness of generalized solutions for a mixed-type differential equation.
by: Elzaki, Tarig M., et al.
Published: (2010)

Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator
by: Zhang, Xinguang, et al.
Published: (2018)

The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
by: Sun, Y., et al.
Published: (2017)

Existence of infinitely solutions for a modified nonlinear Schrödinger equation via dual approach
by: Zhang, Xinguang, et al.
Published: (2018)

A robust weak Taylor approximation scheme for solutions of jump-diffusion stochastic delay differential equations
by: Zhou, Y., et al.
Published: (2013)

Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations
by: Zhu, B., et al.
Published: (2017)

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
by: Zhang, X., et al.
Published: (2018)

Ryan-Holmes and modified Ryan-Holmes processes for LNG production
by: Lastari, Fonny
Published: (2009)

Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
by: Zhu, B., et al.
Published: (2016)

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
by: He, J., et al.
Published: (2018)

Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term
by: Sun, F., et al.
Published: (2017)

Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
by: Zhang, X., et al.
Published: (2012)

Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
by: Liu, X., et al.
Published: (2018)

New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method
by: Hu, Xuegang, et al.
Published: (2013)

The general traveling wave solutions of the Fisher type equations and some related problems
by: Yuan, W., et al.
Published: (2014)

Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
by: Li, S., et al.
Published: (2006)

Uniqueness and existence of positive solutions for the fractional integro-differential equation
by: Wang, Y., et al.
Published: (2017)

Existence and asymptotic properties of solutions for a nonlinear Schrödinger elliptic equation from geophysical fluid flows
by: Zhang, Xinguang, et al.
Published: (2019)

On the Cauchy problem for a generalized Boussinesq equation
by: Lin, Qun, et al.
Published: (2009)

Existence and Estimates of Solutions for Various Elliptic Equation Models
by: Jiang, Yongsheng
Published: (2017)

Existence and uniqueness of the solution for an infinite system of differential equations.
by: Ibragimov, Gafurjan, et al.
Published: (2008)

L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems
by: Wei, N., et al.
Published: (2017)

A generalized expansion method for nonlinear wave equations
by: Lin, Qun, et al.
Published: (2009)

Positive solutions for a nonlocal fractional differential equation
by: Wang, Y., et al.
Published: (2011)