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On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
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- Kagei, Yoshiyuki
- Faculty of Mathematics, Kyushu University
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- Maekawa, Yasunori
- Department of Mathematics, Graduate School of Science, Kobe University
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Description
This paper deals with large time behavior of solutions to a Keller-Segel system which possesses self-similar solutions. By taking into account the invariant properties of the equation with respect to a scaling and translations, we show that suitably shifted self-similar solutions give more precise asymptotic profiles of general solutions at large time. The convergence rate is also computed in details.
Journal
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- MI Preprint Series
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MI Preprint Series 2009-30 2012-12-01
Academic Press
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Details 詳細情報について
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- CRID
- 1050861482659065984
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- NII Article ID
- 120005039071
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- NII Book ID
- AA00252370
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- HANDLE
- 2324/15435
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles