非齐次双曲型守恒律组的整体解的研究

On the Global Solution of Nonhomogeneous Hyperbolic System of Conservation Laws

主要是在文献[1]的齐次方程的基础上对非齐次的双曲型守恒律的整体解进行研究,主要对两个问题进行了研究,第一个是如何除了非齐次项,主要是利用广义的Glimm把非齐次的转化为齐次的.第二个是证明解的存在性.主要利用激波的一些性质.

Based on the nonhomogeneous formula in reference [ 1 ] , this study addresses the global solution of nonhomogeneous hyperbolic system of conservation laws. Two issues are dis- cussed. The first is on the way of deleting nonhomogeneous term, The method suggested is to convert the nonhomogeneous into the homogeneous by means of generalized Glimm. The second is to prove the existence of solution by shock wave.