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

DOI10.1016/j.jmaa.2006.01.065zbMath1109.35067OpenAlexW1984560681MaRDI QIDQ854041

De-Xing Kong, Zhi-Qiang Shao, Ta-Tsien Li

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.065

zbMATH Keywords

weak linear degeneracy\(n\)-th forward characteristic

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Shock reflection for a system of hyperbolic balance laws ⋮ Blow-up of solutions to the initial-boundary value problem for quasilinear hyperbolic systems of conservation laws

Cites Work

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• The mixed problem for a class of nonlinear symmetric hyperbolic systems with discontinuous data
• Quasilinear hyperbolic systems
• Solutions in the large for nonhomogeneous quasilinear hyperbolic systems of equations
• On the existence of global smooth solutions for a model equation for fluid flow in a pipe
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Lectures on nonlinear hyperbolic differential equations
• Global entropy solutions to exothermically reacting, compressible Euler equations
• Cauchy problem for weakly linearly degenerate hyperbolic systems in diagonal form.
• Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems.
• Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities
• Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
• Global solutions of the cauchy problem for a nonhomogeneous quasilinear hyperbolic system
• The existence of a global weak solution to the non-linear waterhammer problem
• The Generalized Riemann Problem for the Motion of Elastic Strings
• 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
• Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
• On Hyperbolic Partial Differential Equations
• Breakdown of classical solutions to quasilinear hyperbolic systems

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