Propagations of singularities in a parabolic system with coupling nonlocal sources

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Abstract

This paper deals with propagations of singularities in solutions to a parabolic system coupled with nonlocal nonlinear sources. The estimates for the four possible blow-up rates as well as the boundary layer profiles are established. The critical exponent of the system is determined also.

Keywords

nonlocal nonlinear sources parabolic systems critical exponent blow-up rate boundary layer profile propagation of singularity 

MSC(2000)

35K55 35B40 
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Copyright information

© Science in China Press and Springer-Verlag GmbH 2008

Authors and Affiliations

  1. 1.Department of Applied MathematicsDalian University of TechnologyDalianChina
  2. 2.School of ScienceDalian Fisheries UniversityDalianChina

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