Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Sun, Meina^1,2 

[1] Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

关键词: Hyperbolic conservation law;    Global structure of solutions;    Non-selfsimilar;    Delta shock wave;   

DOI  :  10.1016/j.jmaa.2012.05.025

来源: Elsevier

【 摘 要 】

The non-selfsimilar Riemann problem for a two-dimensional nonstrictly hyperbolic system of conservation laws is considered, where the initial data are two constant states separated by a smooth curve. Without dimension reduction or coordinate transformation, the two-dimensional global solutions are constructed for six cases according to the normal velocities on both sides of the initial discontinuity. Moreover, the interactions of non-selfsimilar elementary waves are discussed by respectively taking the initial discontinuity as a parabola and a circle which enable us to provide the global structures of the entropy solutions explicitly. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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