Degenerate nonlinear hyperbolic conservation laws: Non classical geometrical theory

DOI10.1007/BF02844921zbMath1156.35426MaRDI QIDQ5441042

Monique Sablé-Tougeron

Publication date: 7 February 2008

Published in: ANNALI DELL UNIVERSITA DI FERRARA (Search for Journal in Brave)

zbMATH Keywords

well-posednesslocal Riemann problementropic kinetic criterionkinetic admissibility

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Degenerate hyperbolic equations (35L80)

Cites Work

• Unnamed Item
• On the inverse function theorem
• Kinetic stabilization of a nonlinear sonic phase boundary
• Kinetic relations and the propagation of phase boundaries in solids
• Numerical approximation of hyperbolic systems of conservation laws
• Hyperbolic systems of conservation laws II
• On the Detonation of a Combustible Gas
• Comments on ’’Correlation of the phase and amplitude fluctuations between direct and ground-reflected sound’’ [J. Acoust. Soc. Am. 68, 297–302 (1980)]
• The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity

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