Journal article
Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems
Discrete and continuous dynamical systems, Vol.36(2), pp.861-875
08/2015
DOI: 10.3934/dcds.2016.36.861
Abstract
We prove the global-in-time existence of intermediate weak solutions of the equations of chemotaxis system in a bounded domain of ℝ2 or ℝ3 with initial chemical concentration small in H1. No smallness assumption is imposed on the initial cell density which is in L2. We first show that when the initial chemical concentration c0 is small only in H1 and (n0-n∞; c0) is smooth, the classical solution exists for all time. Then we construct weak solutions as limits of smooth solutions corresponding to mollified initial data. Finally we determine the asymptotic behavior of the global solutions.
Details
- Title: Subtitle
- Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems
- Creators
- Tong LiAnthony Suen
- Resource Type
- Journal article
- Publication Details
- Discrete and continuous dynamical systems, Vol.36(2), pp.861-875
- DOI
- 10.3934/dcds.2016.36.861
- ISSN
- 1078-0947
- eISSN
- 1553-5231
- Language
- English
- Date published
- 08/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984240774702771
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