四川大学学报(自然科学版)2001,Vol.38Issue(6):793-798,6.
具有限传播的热传导方程的经典解
CLASSICAL SOLUTIONS TO HEAT CONDUCTION WITH FINITE OF PROPAGATION GUIDED BY SECOND SOUND
摘要
Abstract
The authors present heat conduction with finite of propagation guided by second sound. Under certain hypotheses, the global existence and the formation of singularities for classi cal solution are obtained. The results show that the relationship between the delay time and the smoothness of classical solutions: for small delay time r >0, the C1 solution globally exists, but for large r, the Cattaneo law will fail.关键词
柯西问题/经典解/奇性/生命跨度分类
数理科学引用本文复制引用
刘法贵,向明森,李才中..具有限传播的热传导方程的经典解[J].四川大学学报(自然科学版),2001,38(6):793-798,6.基金项目
NSF of China( 19971602) ( 19971602)