Global Existence And Blow-up To A Nonlocal Parabolic System

Posted on:2007-11-05

Degree:Master

Type:Thesis

Country:China

Candidate:H Zhang

Full Text:PDF

GTID:2120360185493614

Subject:Applied Mathematics

Abstract/Summary:

PDF Full Text Request

This thesis deals with a parabolic system with nonlocal sources. By using super-and sub-solution techniques, we show the conditions that solutions exist globally and blow up in a finite time. Furthermore, we also establish the precise blow-up rate estimates and boundary layer estimates.

Keywords/Search Tags:

Parabolic system, Nonlocal source, Global Existence, Blowup, Rate, Boundary layer

PDF Full Text Request

Related items

1	The Global Existence And Blow-up Of Two Kinds Of Nonlinear Parabolic Equations
2	Global Existence And Blow-up Profiles For The Solutions Of Some Reaction-diffusion Equations
3	Propagations Of Singularities In A Parabolic System With Coupled Nonlocal Sources
4	Study On The Global Existence And Finite Time Blow-up For Two Classes Of Nonlinear Parabolic System With Nonlocal Source
5	Blowup Analysis For Solutions To The Quasilinear Parabolic Equation And A System Of Parabolic Equations With Nonlocal Nonlinearities
6	Global Existence And Blowup Of Solutions To Pseudo-parabolic Equations
7	Blow-up Properties Of Solutions For The Nonlocal Parabolic Equation And System
8	Nonlinear Parabolic Equations With Weighted Nonlocal Sources
9	A Degenerate Parabolic System Of A Degenerate Diffusion Equation The Existence Of The Bursting
10	The Global Existence And Blow-up Of Solutions For A Certain Parabolic System