数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (3): 298-302.

• 论文 • 上一篇    下一篇

INTERACTION OF STRONG AND WEAK SINGULARITIES FOR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN MULTIDIMENSIONAL SPACE

陈恕行   

  1. Dept. of Math., Fudan University, Shanghai, China
  • 收稿日期:1988-12-10 出版日期:1990-09-25 发布日期:1990-09-25

INTERACTION OF STRONG AND WEAK SINGULARITIES FOR HYPERBOLIC SYSTEM OF CONSERVATION LAWS IN MULTIDIMENSIONAL SPACE

Chen Shuxing   

  1. Dept. of Math., Fudan University, Shanghai, China
  • Received:1988-12-10 Online:1990-09-25 Published:1990-09-25

摘要: In this paper we study the interaction of strong and weak singularities for hyperbolic system of conservation laws in multidimensional space. Under the assumption of transversal intersect of the shock front with the bicharacteristics bearing weak singularities we proved a theorem on regularity propagation across the shock front.

Abstract: In this paper we study the interaction of strong and weak singularities for hyperbolic system of conservation laws in multidimensional space. Under the assumption of transversal intersect of the shock front with the bicharacteristics bearing weak singularities we proved a theorem on regularity propagation across the shock front.