Does a ‘volume‐filling effect’ always prevent chemotactic collapse?
Does a ‘volume‐filling effect’ always prevent chemotactic collapse?
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DOI：
10.1002/mma.1146
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发表时间：
2010-01
影响因子：
2.9
通讯作者：
M. Winkler
中科院分区：
文献类型：
--
作者：
M. Winkler
趋化现象的抛物型-抛物型Keller-Segel系统，\documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle{empty}\begin{document}\begin{eqnarray*}\left\{\begin{array}{ll}u_t=nabla\cdot(Phi(U)\nabla u)-nabla\cDot(psi(U)\nabla v)，&x\in\Omega，\，t{>；}0\\v_t=\Delta v-v+u，&x\in\Omega，\，t{>；}0\end{array}\right.\end{eqnarray*}\end{document}在齐次Neumann边界条件下考虑光滑有界域Ω⊂ℝn，n⩾2.
The parabolic–parabolic Keller–Segel system for chemotaxis phenomena, \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle{empty}\begin{document}\begin{eqnarray*}\left\{\begin{array}{ll} u_t=\nabla\cdot(\phi(u)\nabla u)-\nabla\cdot(\psi(u)\nabla v), & x\in\Omega,\, t{>}0\\ v_t=\Delta v-v+u, & x\in\Omega,\, t{>}0\end{array}\right.\end{eqnarray*}\end{document} is considered under homogeneous Neumann boundary conditions in a smooth bounded domain Ω⊂ℝn with n⩾2.