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A complete classification for non-simultaneous blow-up

โœ Scribed by Bingchen Liu; Fengjie Li

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
433 KB
Volume
22
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

This work deals with heat equations coupled via nonlinear boundary flux which obey different laws. We give a complete classification for non-simultaneous and simultaneous blow-up by covering all of the possible exponents.

๐Ÿ“œ SIMILAR VOLUMES

Non-simultaneous blow-up in a parabolic
Non-simultaneous blow-up in a parabolic system with three components
โœ Bingchen Liu; Fengjie Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 981 KB

This paper deals with heat equations coupled via nonlinear boundary flux โˆ‚u 1 โˆ‚ฮท = u p 11 1 + u p 12 2 , โˆ‚u 2 โˆ‚ฮท = u p 22 2 + u p 23 3 , โˆ‚u 3 โˆ‚ฮท = u p 33 3 + u p 31 1 . A necessary and sufficient condition for the existence of only one component blowing up for nondecreasing in time and radially sym

Properties of non-simultaneous blow-up s
Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations
โœ Bingchen Liu; Fengjie Li ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 596 KB

This paper deals with blow-up solutions in parabolic equations coupled via nonlocal nonlinearities, subject to homogeneous Dirichlet conditions. Firstly, some criteria on nonsimultaneous and simultaneous blow-up are given, including four kinds of phenomena: (i) the existence of non-simultaneous blow