Blow-up, Quenching, Aggregation and Collapse in a Chemotaxis Model with Reproduction Term-中国期刊网

摘要 Inthispaper,weconsiderthefollowingchemotaxismodelwithratio-dependentlogisticreactiontermu/t=D▽(▽u-u▽ω/ω)+u(α-bu/ω),(x,t)∈QT,ω/t=βu-δω,(x,t)∈QT,u▽㏑(u/w)·=0,x∈Ω,00,x∈,w(x,0)=w0(x)>0,x∈,Itisshownthatthesolutiontotheproblemexistsgloballyifb+β≥0andwillblowuporquenchifb+β<0bymeansoffunctiontransformationandcomparisonmethod.Variousasymptoticbehaviorrelatedtodifferentcoefficientsandinitialdataisalsodiscussed.

1穆春来;董光昌. BLOW-UP AND EXISTENCE FOR FAST DIFFUSION EQUATIONS WITH GENERAL NONLINEARITIES.基础数学,1999-02.
2Chen Youpeng. GLOBAL BLOW-UP FOR A HEAT SYSTEM WITH LOCALIZED SOURCES AND ABSORPTIONS.基础数学,2007-02.
3杨凌燕;李晓光;吴永洪;Louis CACCETTA. GLOBAL WELL-POSEDNESS AND BLOW-UP FOR THE HARTREE EQUATION.基础数学,2017-04.
4朱圣国. BLOW-UP OF CLASSICAL SOLUTIONS TO THE COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM.基础数学,2016-01.
5. SEMIDISCRETIZATION IN SPACE OF NONLINEAR DEGENERATE MRABOLIC EQUATIONS WITH BLOW-UP OF THE SOLUTIONS.计算数学,2000-06.
6LINZHIGUI;XIECHUNHONG;WANGMINGXIN. THE BLOW-UP PROPERTY FOR A SYSTEM OF HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS.基础数学,1998-03.
7Chien-Hong Cho. A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations.基础数学,2010-04.
8林支桂. THE BLOW-UP PROPERLIES OF SOLUTIONS TO SEMILINEAR HEAT EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS.基础数学,1998-03.
9Shi Hui ZHU. Blow-up Dynamics of L^2 Solutions for the Davey-Stewartson System.基础数学,2015-03.
10李名德;陈绍华;秦禹春. BOUNDEDNESS AND BLOW UP FOR THE GENERAL ACTIVATOR-INHIBITOR MODEL.基础数学,1995-01.

Blow-up, Quenching, Aggregation and Collapse in a Chemotaxis Model with Reproduction Term

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Blow-up, Quenching, Aggregation and Collapse in a Chemotaxis Model with Reproduction Term

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