English

应用科学学报 ›› 1985, Vol. 3 ›› Issue (3): 277-282.

• 论文 • 上一篇    

一类非线性双曲型方程组的大范围解

郑学恒   

  1. 上海科学技木大学
  • 收稿日期:1982-09-02 修回日期:1983-07-27 出版日期:1985-09-30 发布日期:1985-09-30

EXISTENCE OF GLOBAL SOLUTION OF A CLASS OF NONLINEAR HYPERBOLIC CONSERVATION SYSTEMS

ZHENG XUEHENG   

  1. Shanghai University of Science and Technology
  • Received:1982-09-02 Revised:1983-07-27 Online:1985-09-30 Published:1985-09-30

PDF

81

摘要： 考虑2×2方程组:
ut+F(u)x=0,-∞ < x < ∞,t>0,(1-1)

Abstract: In this article, two conditions are given to define a class of non-linear hyperbolic conservation systems, for which the reference solution on whole of the x, t-plane can be defined -to demonstrate the existence of the global (weak) solution. The equation system which describes the one dimensional flow of isentropic ideal fluid is included in this class.