Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems.

DOI10.1016/J.NA.2003.10.022zbMath1043.35103OpenAlexW2066078240MaRDI QIDQ1428424

Libin B. Wang, Ta-Tsien Li

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.022

zbMATH Keywords

weak linear degeneracy

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system ⋮ Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities ⋮ Shock reflection for general quasilinear hyperbolic systems of conservation laws ⋮ An inverse piston problem with small BV initial data ⋮ 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

Cites Work

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• Pointwise estimates of solutions to Cauchy problem for quasilinear hyperbolic systems
• Global classical solutions with small initial total variation for quasilinear hyperbolic systems
• Formation of singularities for a kind of quasilinear non-strictly hyperbolic system.
• Formation of singularities in one-dimensional nonlinear wave propagation
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• Une remarque sur les coordonnées normalisées et ses applications aux systèmes hyperboliques quasi linéaires
• Resurrection of "Second Order" Models of Traffic Flow
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data

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