GRADIENT DRIVEN AND SINGULAR FLUX BLOWUP OF SMOOTH SOLUTIONS TO HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

DOI10.1142/S021989160400024XzbMath1066.35057MaRDI QIDQ4657840

Helge Kristian Jenssen, Robin L. Young

Publication date: 14 March 2005

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

zbMATH Keywords

gradient catastrophesingularity in the flux functionsup-norm blowup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65)

Related Items (8)

Extensions for Systems of Conservation Laws ⋮ Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws ⋮ NONUNIQUENESS OF BV SOLUTIONS OF QUASILINEAR HYPERBOLIC SYSTEMS ⋮ SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH PRESCRIBED EIGENCURVES ⋮ BLOW UP AT THE HYPERBOLIC BOUNDARY FOR A 2 × 2 SYSTEM ARISING FROM CHEMICAL ENGINEERING ⋮ LARGE-DATA SOLUTION OF A MODEL SYSTEM FOR SINGULAR SHOCKS ⋮ SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS ⋮ Finite Time Singularities for Hyperbolic Systems

Cites Work

• Unnamed Item
• Blow up of solutions and boundary instabilities in nonlinear hyperbolic equations
• Hyperbolic systems of conservation laws II
• Exact Solutions to Degenerate Conservation Laws
• Blowup for Systems of Conservation Laws
• Solutions in the large for nonlinear hyperbolic systems of equations

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