Global existence of classical solutions to the typical free boundary problem for general quasilinear hyperbolic systems and its applications

zbMath0696.35200MaRDI QIDQ910628

Yanchun Zhao, Ta-Tsien Li

Publication date: 1990

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

zbMATH Keywords

Riemann problemsexistence and uniquenessglobal classical solutionsquasilinear hyperbolic systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35)

Related Items (9)

Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear damping ⋮ Shock reflection for general quasilinear hyperbolic systems of conservation laws ⋮ Shock reflection for a system of hyperbolic balance laws ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: rarefaction waves ⋮ The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws ⋮ Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws ⋮ Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves ⋮ Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities

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