土的偏旁有哪些字Global existence and uniqueness of solutions to a法国资产阶级革命
工程师简历>胖大海能吃下去吗chemotaxis system
改变从心开始
期刊名称： Applicable Analysis
作者： Aïssa, Naïma,Balehouane, Abdelkhalek夏天来了写一段话
年份： 2019年
公务员考试报名入口官网关键词： Roger Temam;Nonlinear diffusion;chemotaxis;Keller–Segel;quasilinear parabolic system;global existence;35K55;35K59;35Q92
翘嘴鲌
摘要：This paper is dealing with the existence and uniqueness of a global in-time bounded solution to a quasilinear chemotaxis system ttled in a bounded domain under no-flux boundary conditions. The main difficulty occurs in the prence of the nonlinear logarithmic diffusion which can blow up around zero, and the energy estimates which do not provide a uniform estimate for large values of cell density u. Moreover, the chemo-nsitivity function depends on both cell and chemo-attractant densities which
prents a further difficulty while proving the global existence of a solution. This is overcome by tracking the time evolution of a suitable functional. The existence of local in-time weak solutions is ensured using Schauder's fixed point theorem, while the uniqueness is obtained by adapting the method introduced in Diaz et al. [
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