Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations |
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Authors: | Bingchen Liu Fengjie Li |
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Institution: | College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, PR China |
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Abstract: | This paper deals with blow-up solutions in parabolic equations coupled via nonlocal nonlinearities, subject to homogeneous Dirichlet conditions. Firstly, some criteria on non-simultaneous and simultaneous blow-up are given, including four kinds of phenomena: (i) the existence of non-simultaneous blow-up; (ii) the coexistence of non-simultaneous and simultaneous blow-up; (iii) any blow-up must be simultaneous; (iv) any blow-up must be non-simultaneous. Next, total versus single point blow-up are classified completely. Moreover, blow-up rates are obtained for both non-simultaneous and simultaneous blow-up solutions. |
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Keywords: | Primary 35K05 35K60 35B40 35B33 |
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