Blow-Up of solution for G-L type equation in population problem

Abstract

In this paper, on foundation of [1–4], to study population problem with extension Ginzbur—Landau type for (1) (3) and more general higher order nonlinear parabolic equation with initial bounded value problem which expresses it in existence, unique for classical solution, and by some method, to study this generalized solution and Blow-up phenomena. We obtain some new results, by means of method in [4] to prove the local degenerative problem with homogeneous Dirichlet's boundary value that on suite condition the solution is symmetry function for radius, then the rate of Blow-Up are same when the solution is Blow-Up in finite time, and consider Blow-Up set.