Singularity Caused by Eigenvectors for Quasilinear Hyperbolic Systems

DOI10.1081/PDE-120020484zbMath1027.35073MaRDI QIDQ4807595

Fa-Gui Liu, Ta-Tsien Li

Publication date: 19 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemsingularity formationcompletely reducible systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Singularity in context of PDEs (35A21)

Related Items

Global classical solutions for a class of quasilinear hyperbolic systems ⋮ Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation ⋮ Existence and stability of traveling wave solutions to first-order quasilinear hyperbolic systems ⋮ Mechanism of singularity formation for quasilinear hyperbolic systems with linearly degenerate characteristic fields ⋮ Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces ⋮ ODE singularity for blocked linearly degenerate quasilinear hyperbolic systems ⋮ Blow-up of periodic solutions to linearly degenerate quasilinear hyperbolic systems ⋮ Existence and stability of traveling wave solutions to one-sided mixed initial-boundary value problem for first-order quasilinear hyperbolic systems ⋮ The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics

Cites Work

• Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Breakdown of classical solutions to quasilinear hyperbolic systems
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