Quasilinear hyperbolic systems
Copyright policy )Quasilinear hyperbolic systems
We construct global solutions for quasilinear hyperbolic systems and study their asymptotic behaviors. The systems include models of gas flows in a variable area duct and flows with a moving source. Our analysis is based on a numerical scheme which generalizes the Glimm scheme for hyperbolic conservation laws.
- University of Maryland, College Park United States
- University of Maryland, College Park United States
hyperbolic system of conservation laws, 76N15, Asymptotic behavior of solutions to PDEs, characteristic fields, non linear right hand side, 35L60, First-order nonlinear hyperbolic equations, Shocks and singularities for hyperbolic equations, Lax entropy condition, shock and rarefaction waves, Hyperbolic conservation laws, weak solutions, asymptotic behavior, distinct real eigenvalues, steady state solution
hyperbolic system of conservation laws, 76N15, Asymptotic behavior of solutions to PDEs, characteristic fields, non linear right hand side, 35L60, First-order nonlinear hyperbolic equations, Shocks and singularities for hyperbolic equations, Lax entropy condition, shock and rarefaction waves, Hyperbolic conservation laws, weak solutions, asymptotic behavior, distinct real eigenvalues, steady state solution
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