Uniqueness of conservative solutions for nonlinear wave equations via characteristics

DOI10.1007/s00574-016-0129-yzbMath1337.35002OpenAlexW2313114310WikidataQ59263837 ScholiaQ59263837MaRDI QIDQ285329

Alberto Bressan

Publication date: 19 May 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0129-y

zbMATH Keywords

method of characteristicsone space dimensionCamassa-Holm equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Uniqueness and regularity of conservative solution to a wave system modeling nematic liquid crystal ⋮ A regularized system for the nonlinear variational wave equation ⋮ On conservative sticky peakons to the modified Camassa-Holm equation ⋮ On the Cauchy problem for a nonlinear variational wave equation with degenerate initial data ⋮ Singularity and existence for a multidimensional variational wave equation arising from nematic liquid crystals ⋮ On the degenerate Cauchy problem for a nonlinear variational wave system ⋮ Regularity Structure of Conservative Solutions to the Hunter--Saxton Equation

Cites Work

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• Lipschitz metric for the Hunter-Saxton equation
• Asymptotic variational wave equations
• Existence and partial regularity of static liquid crystal configurations
• On a completely integrable nonlinear hyperbolic variational equation
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• GENERALIZED CHARACTERISTICS AND THE HUNTER–SAXTON EQUATION
• Unique Solutions for a Class of Discontinuous Differential Equations
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Dynamics of Director Fields
• An integrable shallow water equation with peaked solitons
• ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
• Global Solutions of the Hunter--Saxton Equation

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