Global weak solutions of a Hamiltonian regularised Burgers equation
type: Item
instance of: scholarly article
title: Global weak solutions of a Hamiltonian regularised Burgers equation
zbMATH Open document ID: 1543.35073
author: Billel Guelmame
author: Stéphane Junca
author: D. Clamond
author: Robert L. Pego
published in: Journal of Dynamics and Differential Equations
publication date: 2024-07-04T00:00:00Z
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7876087
zbMATH Keywords: inviscid Burgers equation
zbMATH Keywords: regularisation
zbMATH Keywords: Hamiltonian
zbMATH Keywords: conservative and dissipative solutions
zbMATH Keywords: Oleinik inequality
zbMATH Keywords: weakly singular regularised shocks
zbMATH Keywords: cusped traveling wave weak solutions
MaRDI profile type: Publication
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: A Hamiltonian regularization of the Burgers equation
cites work: Stability of fronts for a regularization of the Burgers equation
cites work: The Riemann problem for the Leray-Burgers equation
cites work: Global Solutions of the Hunter--Saxton Equation
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: An integrable shallow water equation with peaked solitons
cites work: Q3404217
cites work: Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations)
cites work: A note on the convergence of the solutions of the Camassa-Holm equation to the entropy ones of a scalar conservation law
cites work: Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
cites work: A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
cites work: A note on the Camassa-Holm equation
cites work: On the well-posedness of the Degasperis-Procesi equation
cites work: On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation
cites work: Q3522699
cites work: Q4508328
cites work: On the Galilean invariance of some nonlinear dispersive wave equations
cites work: Hamiltonian regularisation of the unidimensional barotropic Euler equations
cites work: Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
cites work: Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation
cites work: Dissipative solutions for the Camassa-Holm equation
cites work: Front tracking for hyperbolic conservation laws
cites work: Dynamics of Director Fields
cites work: On a completely integrable nonlinear hyperbolic variational equation
cites work: Singular limit problem of the Camassa-Holm type equation
cites work: Analysis of a Sugimoto Model of Nonlinear Acoustics in an Array of Helmholtz Resonators
cites work: Traveling wave solutions of the Camassa-Holm equation
cites work: Well-posedness and derivative blow-up for a dispersionless regularized shallow water system
cites work: Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: On the weak solutions to a shallow water equation.
cites work: On the Blow-Up Scenario for the Generalized Camassa–Holm Equation
cites work: On the Cauchy problem for the generalized Camassa-Holm equation
DOI: 10.1007/S10884-022-10171-0
description: scientific article; zbMATH DE number 7876087