陈化
个性化签名
- 姓名:陈化
- 目前身份:
- 担任导师情况:
- 学位:
-
学术头衔:
博士生导师
- 职称:-
-
学科领域:
数学
- 研究兴趣:
陈化教授为武汉大学数学系77级学生,86年7月在武大获博士学位并留校任教,88年10月至90年4月赴英国Dundee大学做博士后。93年6月晋升为武汉大学正教授,95年5月被评为武汉大学博士生指导教师。其国际合作联系广泛,多次应邀赴欧、美和日本访问讲学及合作研究,并多次在牛津、剑桥、伦敦帝国理工、巴黎十一大、Berkeley、波恩、东京和京都等一流大学做学术报告,同时还多次在国外举办的国际学术大会上做邀请报告,并多次应邀在国内和国外(欧洲)组织的研究生春季及夏季学校担任主讲教师。最近五年内曾九次在国内(武汉大学)和国外(德国)组织召开国际性学术会议。现担任武汉大学数学与统计学院院长、中国数学会常务理事、湖北省暨武汉市数学会理事长、湖北省科协理事、武汉市科协常务理事,并任中国《数学学报》、《数学进展》、《东北数学》及《偏微分方程杂志》编委。主持国家级项目6项,包括八五国家重点项目、九五国家重点项目、973项目以及国家杰出青年基金(2000-2004);作为中方牵头人主持国家自然科学基金委国际合作局立项的协议国际合作项目3项;还主持国家教委项目2项,包括曾获教育部跨世纪优秀人才基金(1997-2000)。至今在国内外核心刊物上发表论文60余篇,其研究成果于1992和1998年两次获教育部科技进步二等奖。
-
主页访问
5588
-
关注数
1
-
成果阅读
744
-
成果数
10
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
-
81浏览
-
0点赞
-
0收藏
-
0分享
-
547下载
-
0评论
-
引用
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
-
77浏览
-
0点赞
-
0收藏
-
0分享
-
262下载
-
0评论
-
引用
【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
-
76浏览
-
0点赞
-
0收藏
-
0分享
-
147下载
-
0评论
-
引用
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
-
79浏览
-
0点赞
-
0收藏
-
0分享
-
227下载
-
0评论
-
引用
【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.
-
75浏览
-
0点赞
-
0收藏
-
0分享
-
196下载
-
0评论
-
引用
【期刊论文】THE SOLVABILITY OF SOME CHEMOTAXIS SYSTEMS*
陈化, YANG Yin, CHEN Hua and LIU Weian and B.D. Sleeman
,-0001,():
-1年11月30日
In this paper, we study the local existence and uniqueness of classical solutions to a wide class of systems of chemotaxis equations. These systems are essentially quasilinear strongly coupled partial differential equations. We also study the maximal interval of existence in time of solutions. The results are illustrated in application to a number of partial differential equation models arising in biology.
Solvability,, Chemotaxis, Quasi-linear
-
68浏览
-
0点赞
-
0收藏
-
0分享
-
128下载
-
0评论
-
引用
【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
-
83浏览
-
0点赞
-
0收藏
-
0分享
-
118下载
-
0评论
-
引用
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
-
67浏览
-
0点赞
-
0收藏
-
0分享
-
81下载
-
0评论
-
引用
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'
-
70浏览
-
0点赞
-
0收藏
-
0分享
-
102下载
-
0评论
-
引用
陈化, Hua CHEN and Zhuangchu LUO
,-0001,():
-1年11月30日
In this paper, we study a class of nonlinear higher order partial differential equations with irregular singularities in complex domain Ct
-
68浏览
-
0点赞
-
0收藏
-
0分享
-
125下载
-
0评论
-
引用