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ON THE UNIQUENESS OF THE WEAK SOLUTIONS OF A QUASILINEAR HYPERBOLIC SYSTEM WITH A SINGULAR SOURCE TERM

ON THE UNIQUENESS OF THE WEAK SOLUTIONS OF A QUASILINEAR HYPERBOLIC SYSTEM WITH A SINGULAR SOURCE TERM
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摘要 This paper is a continuation of the authors' previous paper [1].In this paper the authors prove,assuming additional conditions on the initial data,some results about the existence and uniqueness of the entropy weak solutions of the Cauchy problem for the singular hyperbolic system at + (au)x + 2aux = 0, x>0,t≥0. ut + 1/2 (a2 + u2)x = o, This paper is a continuation of the authors' previous paper [1]. In this paper the authors prove, assuming additional conditions on the initial data, some results about the existence and uniqueness of the entropy weak solutions of the Cauchy problem for the singular hyperbolic system
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第3期317-324,共8页 数学年刊(B辑英文版)
基金 Project supported by the FCT and FEDER
关键词 唯一性 弱熵解 拟线性双曲系统 奇异源项 CAUCHY问题 Riemann边分 抛物系统 Cauchy problem, Weak solution, Quasilinear hyperbolic system
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