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Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space 被引量:3

Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space
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摘要 This paper deals with the blowup estimates near the blowup time for the system of heat equations in a half space coupled through nonlinear boundary conditions. The upper and lower bounds of blowup rate are established. The uniqueness and nonuniqueness results for the system with vanishing initial value are given. This paper deals with the blowup estimates near the blowup time for the system of heat equations in a half space coupled through nonlinear boundary conditions. The upper and lower bounds of blowup rate are established. The uniqueness and nonuniqueness results for the system with vanishing initial value are given.
作者 LIN Zhigui
出处 《Science China Mathematics》 SCIE 2004年第1期72-82,共11页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10171088)and also by SRF for ROCS,SEM.
关键词 DIFFUSION system nonlinear BOUNDARY conditions BLOWUP estimates. diffusion system nonlinear boundary conditions blowup estimates
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参考文献4

  • 1Mingxin Wang.The blow-up rates for systems of heat equations with nonlinear boundary conditions[J].Science in China Series A: Mathematics.2003(2)
  • 2Mingxin Wang.Blow-up estimates for semilinear parabolic systems coupled in an equation and a boundary condition[J].Science in China Series A: Mathematics.2001(11)
  • 3Keng Deng.Blow-up rates for parabolic systems[J].ZAMP Zeitschrift für angewandte Mathematik und Physik.1996(1)
  • 4Victor A. Galaktionov,Howard A. Levine.On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary[J].Israel Journal of Mathematics.1996(1)

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