Global existence and finite blow-up of solutions to a class of nonlinear diffusion system;

By using some constructive procedures,the conditions for the global existence and the finite blow-up of solutions to the system of equation are established with homogeneous boundary conditions.

We think about a certain semilinear parabolic equation with nonlocal source,and prove that its solutions would blow up in finite time under a propriety hypothesi

Turbulent front advancement of blood in rayleigh-taylor instability by overturning experiment and finite time blow-up;

There are two kinds of finite time blow-up according to the qualitative theory: the pole of the movable singular point and the fixed singular point.

The main work include global existence and blow-up in finite time of solutions to the initial or initial-boundary value problem, the decay behavior of global solutions and the life span of blowup solutions.