Blow-up phenomena in chemotaxis systems with a source term

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• 作者：Monica Marras ; Stella Vernier-Piro and Giuseppe Viglialoro
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：39
• 期：11
• 页码：2787-2798
• 全文大小：228K
• ISSN：1099-1476

文摘

This paper deals with a parabolic–parabolic Keller–Segel-type system in a bounded domain of ruct="true" class="math-equation-construct">rue" class="math-equation-image">rue" class="math-equation-mathml" style="display:none">rg/1998/Math/MathML">r="urn://wiley-online-library/content/render" xmlns="http://www.w3.org/1998/Math/MathML">row>riant="double-struck">Rrow>row>Nrow>, {N = 2;3}, under different boundary conditions, with time-dependent coefficients and a positive source term. The solutions may blow up in finite time t^∗; and under appropriate assumptions on data, explicit lower bounds for blow-up time are obtained when blow up occurs. Copyright