Global Existence And Blow-up Of The Solutions For Two Class Of Degenerate Parabolic Systems

In theory, degenerate Parabolic Equation(system) describe a number of nonlinearproblems come from the fields of physics, fluid mechanics, ecology and biology, and soon, so attracted many people to study. The studying of global existence and finite timeblow-up is an important branch of the theory of Degenerate Parabolic Equations. In thisthesis, investigate the global existence and finite time blow-up of solution for two classof degenerate parabolic system, the specific content of this paper is organized asfollows:The first chapter introduces the research background and research status of theproblem.In second chapter, investigate a class of doubly degenerate parabolic system withnonlocal sources and inner absorptions. Under certain conditions, by using thecomparison principle and the upper and lower solution technique, the global existenceand finite time blow-up criteria of positive weak solutions are established.In third chapter, investigate a class of a quasilinear parabolic system with nonlocalsource and nonlocal boundary condition. Under certain conditions, by using thecomparison principle and the upper and lower solution technique, the global existenceand finite time blow-up criteria are obtained.