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【期刊论文】Gevrey Microregularity of Solutions for Fully Nonlinear Partial Differential Equations
陈化, Chen Hua and Shen YiHuang
,-0001,():
-1年11月30日
In this paper, we first go over some aspects of paradifferential calculus in Gevrey classes, then study some propositions of symbols related to fully nonlinear partial differential equations in Gevrey classes, and as an application, get Gevrey microregularity of solutions at elliptic points.
symbol,, paralinearization,, Gevrey microregularity
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陈化, Hua CHEN and Xinhua ZHONG†
,-0001,():
-1年11月30日
In this paper, we study a parabolic-elliptic system defined on a bounded domain of R3, which comes from a chemotactic model. We first prove the existence and uniqueness of local in time solution to this problem in the Sobolev spaces framework, then we study the norm behavior of solution, which may help us to determine the blow-up norm of the maximal solution.
Chemotaxis, Keller-Segel model, Parabolic-Elliptic system, Norm behavior
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陈化, Yin YANG, Hua CHEN, Weian LIU
,-0001,():
-1年11月30日
In this paper we investigate the properties of the solutions for some general reaction-diffusion systems due to Othmer-Stevens which arise in modelling chemotaxis, and prove some results about collapse and finite-time action of certain local modifications of the environment.
Chemotaxis,, blow-up,, collapse,, sub-super solution
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陈化, Hua CHEN and Xin-Hua ZHONG†
,-0001,():
-1年11月30日
In this paper we study the global in-time and blow-up solutions for the simplified Keller-Segel system modelling chemotaxis. We prove that there is a critical number which determines the occurrence of blow-up in two dimensional case for 1<p<2. In three or higher dimensional cases, we show that the radial symmetrical solution will be blow up if 1<p<N/N-2 (N≥3) for nonnegative initial value.
Chemotaxis, Keller-Segel model, Parabolic-Elliptic System, Global existence, Blow-up
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【期刊论文】DIFFERENT BEHAVIOUR FOR=HE SOLUTIONS OF 1-DIMENSIONAL CHEMOTAXIS MODEL WITH EXPONENTIAL GROWTH
陈化, Yin YANG, Hua CHEN, Weian LIU
,-0001,():
-1年11月30日
In this paper we investigate the properties of the solution for reaction-diffusion systems due to Othmer-Stevens which arise from 1-dimensional chemotaxis model, and prove some results for the solution to be blow-up in finite-time.
Chemotaxis,, blow-up,, sub-super solution
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