A Lipschitz metric for the Camassa–Holm equation

A Lipschitz metric for the Camassa–Holm equation

We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution itself. In order to obtain uniqueness, one is requ...

Bibliografske podrobnosti
Main Authors:	Carrillo, JA, Grunert, K, Holden, H
Format:	Journal article
Jezik:	English
Izdano:	Cambridge University Press 2020

Podobne knjige/članki

A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION
od: JOSÉ A. CARRILLO, et al.
Izdano: (2020-01-01)

A Lipschitz metric for the Hunter–Saxton equation
od: Carrillo de la Plata, JA, et al.
Izdano: (2019)

A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM
od: KATRIN GRUNERT, et al.
Izdano: (2015-01-01)

A Note on the Generalized Camassa-Holm Equation
od: Yun Wu, et al.
Izdano: (2014-01-01)

The Uniqueness of Strong Solutions for the Camassa-Holm Equation
od: Meng Wu, et al.
Izdano: (2013-01-01)

Attractor for a Viscous Coupled Camassa-Holm Equation
od: Lixin Tian, et al.
Izdano: (2010-01-01)

THE ANALYSIS OF BIFURCATION SOLUTIONS OF THE CAMASSA–HOLM EQUATION BY ANGULAR SINGULARITIES
od: H. K. Kadhim, et al.
Izdano: (2020-02-01)

Wave Breaking for the Rotational Camassa–Holm Equation on the Circle
od: Rendong Chen
Izdano: (2022-01-01)

Geometric Integrability of Some Generalizations of the Camassa-Holm Equation
od: Ognyan Christov
Izdano: (2011-01-01)

The Global Weak Solution for a Generalized Camassa-Holm Equation
od: Shaoyong Lai
Izdano: (2013-01-01)

On the Study of Local Solutions for a Generalized Camassa-Holm Equation
od: Meng Wu
Izdano: (2012-01-01)

On H 2-solutions for a Camassa-Holm type equation
od: Coclite Giuseppe Maria, et al.
Izdano: (2023-05-01)

Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
od: Chunyu Shen
Izdano: (2011-01-01)

Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations
od: Delin Wu
Izdano: (2009-01-01)

Equations with Peakon Solutions in the Negative Order Camassa-Holm Hierarchy
od: Fengfeng Dong, et al.
Izdano: (2018-01-01)

Fractional comparative analysis of Camassa-Holm and Degasperis-Procesi equations
od: Yousef Jawarneh, et al.
Izdano: (2023-09-01)

On some integrability aspects of the two-component Camassa–Holm equation
od: Deng-Shan Wang
Izdano: (2022-06-01)

The Cauchy problem for coupled system of the generalized Camassa-Holm equations
od: Sen Ming, et al.
Izdano: (2022-06-01)

Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation
od: Zheng Yin
Izdano: (2013-01-01)

The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation
od: Nan Li, et al.
Izdano: (2012-01-01)

Blow-up solution and analyticity to a generalized Camassa-Holm equation
od: Ying Wang, et al.
Izdano: (2023-03-01)

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation
od: Shan Minjie, et al.
Izdano: (2024-06-01)

Lie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equation
od: H. Jafari, et al.
Izdano: (2021-07-01)

New periodic exact traveling wave solutions of Camassa–Holm equation
od: Guoping Zhang
Izdano: (2022-12-01)

Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
od: Partha Guha, et al.
Izdano: (2006-05-01)

Efficient computational approaches for fractional-order Degasperis-Procesi and Camassa–Holm equations
od: Kezheng Zhang, et al.
Izdano: (2023-07-01)

The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation
od: Shaoyong Lai
Izdano: (2011-01-01)

A constructive numerical approach to solve the Fractional Modified Camassa–Holm equation
od: Kottakkaran Sooppy Nisar
Izdano: (2024-11-01)

Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation
od: Cuiyun Shi, et al.
Izdano: (2024-04-01)

Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation
od: Ying Wang, et al.
Izdano: (2023-05-01)

Exact kink wave solutions and peakons of a generalized Camassa–Holm equation
od: Ming Song, et al.
Izdano: (2022-05-01)

Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal
od: Dong Li, et al.
Izdano: (2014-01-01)

Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations
od: Zhehao Huang, et al.
Izdano: (2013-01-01)

Abundant closed-form wave solutions to the simplified modified Camassa-Holm equation
od: S M Rayhanul Islam, et al.
Izdano: (2023-06-01)

Some Remarks on the KP System of the Camassa-Holm Hierarchy
od: Giovanni Ortenzi
Izdano: (2007-03-01)

A Semianalytical Approach for the Solution of Nonlinear Modified Camassa–Holm Equation with Fractional Order
od: Jiahua Fang, et al.
Izdano: (2022-01-01)

Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity
od: Shan Zheng, et al.
Izdano: (2015-01-01)

The local strong solution and wave breaking feature to a Camassa–Holm type equation
od: Jin Hong, et al.
Izdano: (2023-02-01)

Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation
od: Ying Zhang, et al.
Izdano: (2022-01-01)

Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation
od: Xiju Zong, et al.
Izdano: (2011-01-01)