Global Exisienoe of Classical Solutions to the Typical Free Boundary Problemfor General Quasilinear Hyperbolic Systems and Its Applications

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Li Daqian(李大潜),Zhao Yanchun(赵彦淳).Global Exisienoe of Classical Solutions to the Typical Free Boundary Problemfor General Quasilinear Hyperbolic Systems and Its Applications[J].Chinese Annals of Mathematics B,1990,11(1):15~32
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Authors:

Li Daqian(李大潜); Zhao Yanchun(赵彦淳)
Abstract: In this paper the authors prove the existence and uniqueness of global classical solutions to the typical free boundary problem for general quasilinear hyperbolic systems. As an application, a unique global discontinuous solution only containing n shocks on t \leq 0 is obtained for a class of generalized Riemann problem for the quasilinear hyperbolic system of n conservation laws.

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