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...

Полное описание

Библиографические подробности
Главные авторы:	Carrillo, JA, Grunert, K, Holden, H
Формат:	Journal article
Язык:	English
Опубликовано:	Cambridge University Press 2020

Схожие документы

A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION
по: JOSÉ A. CARRILLO, и др.
Опубликовано: (2020-01-01)

A Lipschitz metric for the Hunter–Saxton equation
по: Carrillo de la Plata, JA, и др.
Опубликовано: (2019)

A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM
по: KATRIN GRUNERT, и др.
Опубликовано: (2015-01-01)

A Note on the Generalized Camassa-Holm Equation
по: Yun Wu, и др.
Опубликовано: (2014-01-01)

The Uniqueness of Strong Solutions for the Camassa-Holm Equation
по: Meng Wu, и др.
Опубликовано: (2013-01-01)

Attractor for a Viscous Coupled Camassa-Holm Equation
по: Lixin Tian, и др.
Опубликовано: (2010-01-01)

THE ANALYSIS OF BIFURCATION SOLUTIONS OF THE CAMASSA–HOLM EQUATION BY ANGULAR SINGULARITIES
по: H. K. Kadhim, и др.
Опубликовано: (2020-02-01)

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

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

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

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

On H 2-solutions for a Camassa-Holm type equation
по: Coclite Giuseppe Maria, и др.
Опубликовано: (2023-05-01)

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

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

Equations with Peakon Solutions in the Negative Order Camassa-Holm Hierarchy
по: Fengfeng Dong, и др.
Опубликовано: (2018-01-01)

Fractional comparative analysis of Camassa-Holm and Degasperis-Procesi equations
по: Yousef Jawarneh, и др.
Опубликовано: (2023-09-01)

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

The Cauchy problem for coupled system of the generalized Camassa-Holm equations
по: Sen Ming, и др.
Опубликовано: (2022-06-01)

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

The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation
по: Nan Li, и др.
Опубликовано: (2012-01-01)

Blow-up solution and analyticity to a generalized Camassa-Holm equation
по: Ying Wang, и др.
Опубликовано: (2023-03-01)

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation
по: Shan Minjie, и др.
Опубликовано: (2024-06-01)

Lie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equation
по: H. Jafari, и др.
Опубликовано: (2021-07-01)

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

Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
по: Partha Guha, и др.
Опубликовано: (2006-05-01)

Efficient computational approaches for fractional-order Degasperis-Procesi and Camassa–Holm equations
по: Kezheng Zhang, и др.
Опубликовано: (2023-07-01)

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

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

Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation
по: Cuiyun Shi, и др.
Опубликовано: (2024-04-01)

Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation
по: Ying Wang, и др.
Опубликовано: (2023-05-01)

Exact kink wave solutions and peakons of a generalized Camassa–Holm equation
по: Ming Song, и др.
Опубликовано: (2022-05-01)

Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal
по: Dong Li, и др.
Опубликовано: (2014-01-01)

Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations
по: Zhehao Huang, и др.
Опубликовано: (2013-01-01)

Abundant closed-form wave solutions to the simplified modified Camassa-Holm equation
по: S M Rayhanul Islam, и др.
Опубликовано: (2023-06-01)

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

A Semianalytical Approach for the Solution of Nonlinear Modified Camassa–Holm Equation with Fractional Order
по: Jiahua Fang, и др.
Опубликовано: (2022-01-01)

Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity
по: Shan Zheng, и др.
Опубликовано: (2015-01-01)

The local strong solution and wave breaking feature to a Camassa–Holm type equation
по: Jin Hong, и др.
Опубликовано: (2023-02-01)

Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation
по: Ying Zhang, и др.
Опубликовано: (2022-01-01)

Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation
по: Xiju Zong, и др.
Опубликовано: (2011-01-01)