A note on ``Well-posedness theory for hyperbolic conservation laws

DOI10.1016/S0893-9659(03)80023-XzbMath1073.35159MaRDI QIDQ1433627

De-Xing Kong, Tong Yang

Publication date: 1 July 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Riemann problem\(L^1\) stabilityCharacteristics with constant multiplicityQuasilinear hyperbolic conservation laws

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity ⋮ On the isentropic approximation to two-dimension isothermal Euler system ⋮ On the irrotational approximation to the 2-dimensional isothermal Euler system ⋮ On the irrotational approximation to adiabatic Chaplygin gas dynamic system ⋮ Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws

Cites Work

• Unnamed Item
• Unnamed Item
• Rotational degeneracy of hyperbolic systems of conservation laws
• The generalized Riemann problem for reactive flows
• Linear degeneracy and shock waves
• Uniqueness of weak solutions to systems of conservation laws
• Cauchy problem for quasilinear hyperbolic systems
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• Formation of Singularities in One-Dimensional Hydromagnetic Flow
• Hyperbolic systems of conservation laws II
• The Generalized Riemann Problem for the Motion of Elastic Strings
• Well-posedness theory for hyperbolic conservation laws
• Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws