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陈化, LUO Zhuangchu, CHEN Hua
,-0001,():
-1年11月30日
In this paper, we study a class of non-linear singular partial differential equation in complex domain Ct
Singular PDE,, Index operator,, Holomorphic solution
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【期刊论文】On the summability of the formal solutions of some PDEs with irregular singularity
陈化, Zhuangchu LUO and Hua CHEN, Changgui ZHANG
,-0001,():
-1年11月30日
In this paper, we consider some classes of non linear partial differential equations with regular singularity and irregular singularity with respect to t=0 and x=0 respectively. Our purpose is to establish a result similar to the k-summability known in the case of singular ordinary differential equations. It's shown that, under some generic type conditions (holomorphic to t), all formal solutions are Borel summable or k-summable with respect to xin all directions except at most a countable number.
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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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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, Zhuangchu LUO and Hidetoshi TAHARA
,-0001,():
-1年11月30日
Dans ce papier, nous calculons l'indice de Gevrey formelle de solution formelle d'une classe d'
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