A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
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DOI：
10.1088/1361-6544/aaa2df
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发表时间：
2018-03
期刊：
影响因子：
1.7
通讯作者：
Kentarou Fujie;T. Senba
中科院分区：
文献类型：
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作者：
Kentarou Fujie;T. Senba
本文讨论了具有光滑边界的有界凸区域（）中抛物型方程组在齐次Neumann边界条件下的时间整体解。这里τ是一个正参数，χ是一个光滑函数，且是一对非负的初始数据。我们将上述方程组看作一个非局部抛物型方程的扰动，并在常数τ很小的假设下，建立了灵敏度函数χ整体存在解的一个充分条件.
This paper deals with time-global solutions to the parabolic system under the homogeneous Neumann boundary conditions in a bounded and convex domain () with smooth boundary . Here τ is a positive parameter, χ is a smooth function on satisfying and is a pair of nonnegative initial data. We will consider the above system as a perturbation of a nonlocal parabolic equation and establish a sufficient condition of the sensitivity function χ for the global existence of solutions under the assumption of smallness of the constant τ.