论文标题
传热中的淬火,全球存在和爆炸现象
Quenching, global existence and blowup phenomena in heat transfer
论文作者
论文摘要
基于ODE系统与抛物线方程系统之间的关系,我们建立了一些有关淬火,全球存在和爆炸现象的传热中的一般理论,在F(U,V),G(U,V),G(U,V),A(U,V),A(X),A(X)和B(X)上获得的条件(甚至是分水岭),使解决方案是全球存在,爆炸或爆炸或爆炸的时间和时间和时间和时间和时间和时间和时间。
Basing on the relations between a system of ODE and a system of parabolic equations, we establish some general theories in heat transfer about quenching, global existence and blowup phenomena, obtain the conditions(even watershed) on f(u,v), g(u,v), a(x) and b(x) which let the solution be global existence, quench or blow up, and estimate the bounds for blowup time and quenching time.