BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

下载PDF

导出

摘要 A nonlinear degenerate parabolic equation with nonlocal source was considered. It was shown that under certain assumptions the solution of the equation blows up in finite time and the set of blowup points is the whole region. The integral method is used to investigate the blowup properties of the solution. A nonlinear degenerate parabolic equation with nonlocal source was considered. It was shown that under certain assumptions the solution of the equation blows up in finite time and the set of blowup points is the whole region. The integral method is used to investigate the blowup properties of the solution.

作者邓卫兵刘其林谢春红

机构地区 Department of Mathematics Department of Mathematics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第11期1362-1368,共7页 应用数学和力学（英文版）

关键词 degenerate equation nonlocal source blowup in finite time global blowup degenerate equation nonlocal source blowup in finite time global blowup

分类号 O175.26 [理学—数学]

引文网络
相关文献

参考文献9

1S. Wang,M. Wang,Ch.-h. Xie.A nonlinear degenerate diffusion equation not in divergence form[J].Zeitschrift für angewandte Mathematik und Physik.2000(1) 被引量：1
2J. Furter,M. Grinfeld.Local vs. non-local interactions in population dynamics[J].Journal of Mathematical Biology.1989(1) 被引量：1
3Avner Friedman,Bryce McLeod.Blow-up of solutions of nonlinear degenerate parabolic equations[J].Archive for Rational Mechanics and Analysis.1986(1) 被引量：1
4Anderson J R,Deng K.Global existence for degenerate parabolic equations with a nonlocal forcing[].Mathematical Methods in the Applied Sciences.1997 被引量：1
5Diaz J I,Kersner R.On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium[].Journal of Differential Equations.1987 被引量：1
6WANG Shu,WANG Ming-xin,XIE Chun-hong.Nonlinear degenerate diffusion equation not in divergence form[].Zeitschrift Angewandte Mathematik und Physik.2000 被引量：1
7Souplet Ph.Blow up in nonlocal reaction-diffusion equations[].SIAM Journal on Mathematical Analysis.1998 被引量：1
8Souplet Ph.Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source[].Journal of Differential Equations.1999 被引量：1
9WANG Ming-xin,WANG Yuan-ming.Properties of positive solutions for non-local reaction-diffusion problems[].Mathematical Methods in the Applied Sciences.1996 被引量：1

1Wen Jun SUN,Shu WANG.Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition[J].Acta Mathematica Sinica,English Series,2005,21(4):847-854.
2JIANG Liang-jun.Asymptotic Analysis to a Diffusion Equation with a Weighted Nonlocal Source[J].Chinese Quarterly Journal of Mathematics,2015,30(2):244-252.
3CUI Guo-zhong,GAO Yah-ling,GUO Cong-zhou.Blow-up for a Class of Degenerate Reaction-diffusion Equation with Nonlocal Source[J].Chinese Quarterly Journal of Mathematics,2010,25(3):352-359. 被引量：2
4LIU Zhenhai(Department of Mathematics, Changsha University of Electric Power,Changsha 410077, China).ON A NONLINEAR DEGENERATE PARABOLICEQUATION[J].Systems Science and Mathematical Sciences,1999,12(S1):122-128.
5蒋良军,王悦生.Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source[J].Journal of Shanghai University(English Edition),2011,15(6):501-505.
6Filiz Tascan,Ahmet Bekir.Applications of the first integral method to nonlinear evolution equations[J].Chinese Physics B,2010,19(8):24-27.
7陈达段,何幼桦.ON THE WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM OF NON-STATIC ROTATING FLUID[J].Applied Mathematics and Mechanics(English Edition),2004,25(3):288-296. 被引量：1
8李海霞,韩玉柱,高文杰.CRITICAL EXTINCTION EXPONENTS FOR POLYTROPIC FILTRATION EQUATIONS WITH NONLOCAL SOURCE AND ABSORPTION[J].Acta Mathematica Scientia,2015,35(2):366-374.
9Chen Youpeng Liu Qilin Xie ChunhongDept. of Math., Nanjing Univ.,Nanjing 210093,China..THE BLOW-UP PROPERTIES FOR A DEGENERATE SEMILINEAR PARABOL IC EQUATION WITH NONL OCAL SOURCE[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(4):413-424. 被引量：5
10Deng Weibing Xie ChunhongDept.ofMath.,NanjingUniv.,Nanjing210093,China..A NONLINEAR DEGENERATE PARABOLIC EQUATION WITH NON-LOCAL SOURCE[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(2):171-176.

Applied Mathematics and Mechanics(English Edition)

2003年第11期

浏览历史

内容加载中请稍等...

BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

参考文献9

相关作者

相关机构

相关主题

浏览历史