Asymptotic Analysis Of Coupled Parabolic Equations Via Antisymmetric Nonlocalized Sources

In this thesis, we mainly consider the coupled reaction-diffusion systems via antisymmetric nonlocalied sources, subject to homogeneous Dirichlet conditions and nonegative initial data. We get the conditions of the global existence and blow-up. In particular, we give a analysis on the behavior of solutions: uniform blow-up rate .We give the background of the parabolic system in the introduction, and review some basic knowledge of the parabolic equation (system) in Chapter 2. In Chapter 3, we get the global existence and blow-up criteria for the solutions. In Chapter 4, we study the singularity more deeply to get uniform blow-up rate, respectively.