Formation of singularities for a kind of quasilinear non-strictly hyperbolic system.

DOI10.1142/S0252959902000407zbMath1036.35006OpenAlexW2361680427MaRDI QIDQ1861019

Li-bin Wang

Publication date: 2002

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959902000407

zbMATH Keywords

nonlinear elasticityblow upplane elastic wavesweak linear degeneracy

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Singularity in context of PDEs (35A21)

Related Items (5)

Blow-up mechanism of classical solutions to quasilinear hyperbolic systems ⋮ Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems. ⋮ Breakdown of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems ⋮ Global existence of weakly discontinuous solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems ⋮ Global classical solutions of mixed initial-boundary value problem for quasilinear hyperbolic systems

Cites Work

• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems

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