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陶有山

陶有山教授

陶有山,1964年9月出生。应用数学学科教授、博士生导师。在趋向性数学模型的研究、前列腺癌间隙性雄激素剥夺治疗的数学模型研究、及肿瘤生长及其干预治疗的数学模型研究方面取得了一系列成果。






研究方向:

偏微分方程、生物数学

荣誉及获奖情况:

11997年,获钱之光教育奖

21997年,获上海市高校优秀青年教师称号

31999年,获上海市高校优秀青年教师称号

42003年,获上海市曙光学者称号

近几年承担的科研项目:

1、国家自然科学基金面上项目,11571070若干生物过程的发展方程研究、2016/1-2019/1254万元、在研、主持。

2、国家自然科学基金面上项目,11171061、生物医学中若干发展方程的研究、2012/01-2015/1245万元、在研、主持。

3、国家自然科学基金面上项目,10571023、自由边界问题在癌症医学中的应用、2006/01-2008/1224万元、结题、主持。

4、上海市教委科研创新重点项目, 13ZZ046、生物医学中的偏微分方程模型的研究、2012/09-2015/0816万元、结题、主持。

5、上海市自然科学基金项目,09ZR1401200、肿瘤学中的偏微分方程、2009/06-2011/0610万元、结题、主持

6、上海市曙光计划项目,SG29、癌症治疗的偏微分方程数学模型、2004/01-2006/1212万元、结题、主持。

7教育部留学回国基金项目,肿瘤细胞中可复制的病毒模型、2003/01-2005/123万元、结题、主持。

近几年发表论著情况:

1.Youshan Tao, Michael Winkler: Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production, Journal of The European Mathematical Society, to appear.

2.Nicola  Bellomo, Abdelghani Bellouquid, Youshan Tao, Michael Winkler: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues, Mathematical Models and Methods in Applied Sciences 25 (2015), 1663-1763.

3.Youshan Tao, Michael Winkler:  Boundedness and decay enforced by quadratic degradation in a three-dimensioanl chemotaxis-fluid system, Z. Angew. Math. Phys., to appear.

4.Youshan Tao; Qian Guo; Kazuyuki Aihara: A partial differential equation model for prostate tumor growth under intermittent homone therapy. J. Math. Biol. 69 (2014), 817-838.

5.Youshan Tao; Michael Winkler: Boundedness and stabilization in a multi-dimensional chemotaxis–haptotaxis model. Proc. Roy. Soc. Edinburgh Sect. 144 A (2014), 1067-1084.

6.Youshan Tao; Michael Winkler: Energy-type estimates and global solvability in a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant. J. Differential Equations 257 (2014), 784–815

7.Youshan Tao; Michael Winkler: Dominance of chemotaxis in a chemotaxis–haptotaxis model. Nonlinearity 27 (2014), no. 6, 1225-1239.

8.Yuan Lou; Youshan Tao; Michael Winkler: Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. SIAM J. Math. Anal. 46 (2014), no.2, 1228-1262.

9.Youshan Tao; Michael Winkler: Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Ann. Inst. H. Poincare Anal. Non Lineaire 30 (2013), no. 1, 157-178.

10.Youshan Tao: Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 10, 2705-2722.

11.Youshan Tao; Lihe Wang; Zhi-An Wang: Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 3, 821-845.

12.Youshan Tao; Zhi-An Wang: Competing effects of attraction vs. repulsion in chemotaxis. Math. Models Methods Appl. Sci. 23 (2013), no. 1, 1-36.

13.Na Zhang; Youshan Tao:A free boundary problem modeling tumor growth with different chemotactic responses and random motions for various cell types.J. Math. Anal. Appl.398(2013),no. 2,534–541.

14.Youshan Tao and Michael Winkler: Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion, Discrete Contin. Dyn. Syst.-A 32 (2012), 1901-1914.

15.Youshan Tao and Michael Winkler, Eventual smoothness and stabilization of large-data solutions in three-dimensional chemotaxis system with consumption of chemoattractant, J. Differential Equations 252 (2012),2520-2543.

16.Youshan Tao and Michael Winkler: Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity, Journal of Differential Equations 252 (1) (2012), 692-715.

主要学术兼职:

1、Nonlinear Analysis: Real World Applications Associate Editor (2015 -- ) http://www.journals.elsevier.com/nonlinear-analysis-real-world-applications/editorial-board/

2、Springer-Birkhauser book series Modelling and simulation in science, engineering and technology, Editorial Board (2015 -- )
http://www.springer.com/series/4960

国际交流与合作:

120139月访问访问美国The Ohio State University(俄亥俄州立大学)

2201312月访问日本东京大学

320088月访问日本东京大学

420079月,访问日本University of Tokyo(东京大学)

520018-20028月,访问美国The Ohio State University(俄亥俄州立大学)         

联系电话:67792089-535                                    EMAIL:taoys@dhu.edu.cn