Systems of hyperbolic conservation laws with a resonant moving source

DOI10.1016/j.jde.2008.04.009zbMath1148.35048OpenAlexW2056629267MaRDI QIDQ932272

Jiale Hua

Publication date: 10 July 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.009

zbMATH Keywords

Liu-Yang functionalsingle transonic shock

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperbolic systems of balance laws via vanishing viscosity
• Nonlinear stability and instability of transonic flows through a nozzle
• Quasilinear hyperbolic systems
• Transonic gas flow in a duct of varying area
• The deterministic version of the Glimm scheme
• On the \(L^1\) well posedness of systems of conservation laws near solutions containing two large shocks
• Uniqueness and continuous dependence for systems of balance laws with dissipation
• Well-posedness for hyperbolic systems of conservation laws with large BV data
• Global weak solutions for systems of balance laws
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• Stability Conditions for Patterns of Noninteracting Large Shock Waves
• L^1 stability of patterns of non-interacting large shock waves
• L¹Stability for Systems of Conservation Laws with a Nonresonant Moving Source
• Uniqueness and Sharp Estimates on Solutions to Hyperbolic Systems with Dissipative Source
• Nonlinear resonance for quasilinear hyperbolic equation
• 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
• L¹ Stability for Systems of Hyperbolic Conservation Laws with a Resonant Moving Source
• Well-posedness theory for hyperbolic conservation laws
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION
• Solutions in the large for nonlinear hyperbolic systems of equations