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2004年12月30日

【期刊论文】On the Holomorphic Solution of Higher Order Non-linear Totally Characteristic Equations with Several Space Variables*

陈化， LUO Zhuangchu， CHEN Hua

，-0001，（）：

-1年11月30日

摘要

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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2004年12月30日

【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

摘要

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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2004年12月30日

【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

摘要

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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2004年12月30日

【期刊论文】ON EXISTENCE OF GLOBAL SOLUTIONS AND BLOW-UP TO A SYSTEM OF REACTION-DIFFUSION EQUATIONS MODELLING CHEMOTAXIS1

陈化， Yin YANG， Hua CHEN， Weian LIU

，-0001，（）：

-1年11月30日

摘要

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