Uniqueness and Sharp Estimates on Solutions to Hyperbolic Systems with Dissipative Source

DOI10.1080/03605300500532913zbMath1122.35070OpenAlexW2034372819WikidataQ60117497 ScholiaQ60117497MaRDI QIDQ3424267

Cleopatra C. Christoforou

Publication date: 15 February 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500532913

zbMATH Keywords

uniquenessbalance lawsdependence on parametersvanishing viscosityone space dimensionpropagation speed

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (9)

On Hyperbolic Balance Laws and Applications ⋮ Mathematical Aspects of A Model for Granular Flow ⋮ SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH MEMORY ⋮ BV weak solutions to Gauss-Codazzi system for isometric immersions ⋮ Systems of hyperbolic conservation laws with a resonant moving source ⋮ Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge ⋮ Sharp decay estimates for hyperbolic balance laws ⋮ Global Existence of Large BV Solutions in a Model of Granular Flow ⋮ On the structure of BV entropy solutions for hyperbolic systems of balance laws with general flux function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperbolic systems of balance laws via vanishing viscosity
• Quasilinear hyperbolic systems
• Oleinik type estimates and uniqueness for \(n \times n\) conservation laws
• Uniqueness and continuous dependence for systems of balance laws with dissipation
• Global \textbf{BV} entropy solutions and uniqueness for hyperbolic systems of balance laws
• Global weak solutions for systems of balance laws
• The unique limit of the Glimm scheme
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Solutions in the large for nonlinear hyperbolic systems of equations
• Hyperbolic Conservation Laws in Continuum Physics

This page was built for publication: Uniqueness and Sharp Estimates on Solutions to Hyperbolic Systems with Dissipative Source