趙繼紅

2008/09 - 2011/06，中山大學，基礎數學，博士，導師：崔尚斌教授

2004/09 - 2007/06，蘭州大學，基礎數學，碩士，導師：趙培浩教授

2000/09 - 2004/06，天水師範學院，數學與應用數學，學士 ^[1] 

2011/07- 至今，西北農林科技大學，理學院應用數學系

2007/07 - 2008/07，廣西師範大學，數學科學學院 ^[1] 

1、國家自然科學基金青年基金，電流體動力學模型和液晶流體動力學模型大初值問題的整體適定性，項目批准號: 11501453，21.28萬，2016/01-2018/12，主持。

2、陝西省自然科學基礎研究計劃—青年人才項目，一類電流體力學方程組大初值問題的整體適定性，項目批准號: 2015JQ1004，2萬，2015/01-2016/12，主持。

3、西北農林科技大學中央高校基本科研業務費專項基金，一類電流動力學方程組的定性分析，項目批准號: 2014YB031，10萬，2014/01-2017/01，主持。

4、西北農林科技大學博士科研啓動基金兼陝西省專項配套基金，向列型液晶流模型中若干問題的研究，項目批准號: Z109021118, 10萬，2011/09-2013/09, 主持。

5、國家自然科學基金面上項目，一些 q -特殊函數的研究，項目批准號: 11371294，56萬，2014/01-2017/01，參加。

6、國家自然科學基金面上項目，生物學和物理學中的一些偏微分方程問題，項目批准號: 11171357，50萬，2012/01-2015/12，參加。

7、國家自然科學基金青年基金，非自治耗散發展方程的一致吸引子, 項目批准號: 11001279, 18萬，2011.01-2013.12， 參加。 ^[1] 

研究方向為偏微分方程和生物數學，目前研究興趣集中在：流體力學中的偏微分方程組的整

體適定性問題，弱解的正則性和唯一性問題，強解的衰減估計和長時間性態；Navier-Stokes

方程；腫瘤生長自由邊界問題；藥物趨化模型的數學分析。 ^[1] 

本科生課程：高等數學；概率論與數理統計。

研究生課程：泛函分析；偏微分方程；變分法；算子半羣。 ^[1] 

1.Well-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spaces,arXiv:1508.00117.

2.Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces, (2017) , J. Differential Equations ,. (with Dr. Qiao Liu)

3.BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations,appearin Mathematical Methods in the Applied Sciences.

4.Gevrey regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type in critical Besov spaces， J. Math. Anal. Appl., 448 (2017), 1265-1280.

5.The optimal temporal decay estimates for the fractional power dissipative equation in negative Besov spaces, J. Math. Phys., 57(2016), 051504.

6.Temporal decay for the generalized Navier-Stokes equations, Nonlinear Anal. TMA. ，141 (2016) 191-210. (with Dr. Lifei Zheng)

7.Blow-up criteria for the three dimensional nonlinear dissipative system modeling electro-hydrodynamics, Nonlinear Anal. RWA. ，31 (2016), 210-226. (with Dr. Meng Bai)

8.Well-posedness for the 3D incompressible nematic liquid crystal system in the critical L^p framework, Discrete Contin. Dyn. Syst. A , 36(1) (2016), 371-402. (with Dr. Qiao Liu and Prof. Ting Zhang)

9.On decay estimates of the 3D nematic liquid crystal flows in critical Besov spaces， Math. Meth. Appl. Sci. ， 39 (2016), 4044-4055. (with Dr. Qiao Liu)

10.A logarithmically improved blow-up criterion for a simplified Ericksen-Leslie system modeling the liquid crystal flows, J. Partial Differential Equations, 28(4) (2015), 358-369. (with Dr. Meng Bai and Dr. Qiao Liu)

11.A Beale-Kato-Majda blow-up criterion for a hydrodynamic system modeling vesicle and fluid interactions, Nonlinear Anal. TMA, 128 (2015), 20–35.

12.On the Serrin's regularity criterion for the beta-generalized dissipative surface quasi-geostrophic equation, Chinese Anna ls of Mathematics , Series B ,36B(6) (2015), 947-956. (with Dr. Qiao Liu)

13.Logarithmically improved blow-up criterion for the nematic liquid crystal system with zero viscosity, Annali di Matematica , 194 (2015), 1245–1258. (with Dr. Qiao Liu and Dr. Yining Li)

14.Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space, Discrete Contin. Dyn. Syst. A , 35(1) (2015), 555–582. (with Prof. Ting Zhang and Dr. Qiao Liu)

15.Global solutions to the 3D incompressible nematic liquid crystal system, J. Differential Equations , 258 (2015) , 1519–1547. (with Dr. Qiao Liu and Prof. Ting Zhang)

16.Existence and regularizing rate estimates of mild solutions to a generalized magneto-hydrodynamic system in Q -spaces.Asian-Eur. J. Math.8(3)(2015),1550049. (with Dr. Qiao Liu and Prof. Shangbin Cui)

17.On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces, Applicable Analysis , 93(7) (2014), 1431–1450. (with Dr. Qiao Liu)

18.On the uniqueness of weak solutions for the 3D phase field Navier-Stokes vesicle-fluid interaction model, Diff. Equa. Appl. , 6 (1) (2014), 81–97. (with Dr. Qiao Liu and Dr. Shuanghu Zhang)

19.Logarithmically improved blow-up criteria for the nematic liquid crystal flows, Nonlinear Anal. RWA. , 16 (2014), 178–190. (with Dr. Qiao Liu)

20.Logarithmically improved regularity criterion for the 3D generalized magneto-hydrodynamic equations, Acta Mathematica Scientia , 34B(2) (2014), 1–8. (with Dr. Qiao Liu)

21.Global well-posedness for the generalized magneto-hydrodynamic equations in the critical Fourier–Herz spaces, J. Math. Anal. Appl. , 420 (2014), 1301–1315. (with Dr. Qiao Liu)

22.Uniqueness of weak solution to the generalized magneto-hydrodynamic system, Annali di Matematica , 193(3) (2014), 699-722. (with Dr. Qiao Liu)

23.Weak-strong uniqueness criterion for the /beta-generalized surface quasi-geostrophic equation, Monatsh Math. , 172 (2013), 431–440. (with Dr. Qiao Liu)

24.Logarithmically improved blow-up criteria for a phase field Navier-Stokes vesicle-fluid interaction model, J. Math. Anal. Appl. , 405 (2013), 422–437. (with Dr. Qiao Liu)

25.A regularity criterion for the solution of the nematic liquid crystal flows in terms of Besov-norm, J. Math. Anal. Appl. , 407 (2013), 557–566. (with Dr. Qiao Liu)

26.Existence of solutions for the Debye-Huckel system with low regularity initial data, Acta Applicanda Mathematicae , 125 (2013), 1–10. (with Dr. Qiao Liu and Prof. Shangbin Cui)

27.Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows, Comm. Pure Appl. Anal. , 12(1) (2013), 341–357. (with Dr. Qiao Liu and Prof. Shangbin Cui)

28.Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye-Huckel system, Nonlinear Differ. Equ. Appl. , 19 (2012), 1–18. (with Dr. Qiao Liu and Prof. Shangbin Cui)

29.Weak-strong uniqueness of hydrodynamic flow of nematic liquid crystals, Electron. J. Diff. Equa. , Vol. 2012, 182 (2012), 1–16. (with Dr. Qiao Liu)

30.Logarithmically improved BKM’s criterion for the 3D nematic liquid crystal flows, Nonlinear Anal. TMA , 75 (2012), 4942–4949. (with Dr. Qiao Liu and Prof. Shangbin Cui)

31.A logarithmically improved regularity criterion for the Navier-Stokes equations, Monatsh Math. , 167 (2012), 503–509. (with Dr. Qiao Liu and Prof. Shangbin Cui)

32.Existence and regularizing rate estimates of solutions to a generalized MHD system in pseudo measure spaces, Annali di Matematica , 191 (2012), 293–309. (with Dr. Qiao Liu and Prof. Shangbin Cui)

33.Well-posedness of a dissipative system modeling electrohydrodynamics in Lebesgue spaces, Diff. Equa. Appl. , 3(3) (2011), 427–448. (with Dr. Chao Deng and Prof. Shangbin Cui)

34.Remarks on the local existence of solutions to the Debye system, J. Math. Anal. Appl. , 383 (2011), 337–343. (with Prof. Shangbin Cui)

35.Well-posedness for the NSNPP system in Triebel-Lizorkin space and Besov space with negative indices, J. Math. Anal. Appl. , 377 (2011), 392–405. (with Dr. Chao Deng and Prof. Shangbin Cui)

36.A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity, J. Math. Phys. , 52 (2011), 033102. (with Dr. Qiao Liu and Prof. Shangbin Cui)

37.Global well-posedness of a dissipative system arising in electrohydrodynamics in negative-order Besov spaces, J. Math. Phys. , 51, 093101(2010). (with Dr. Chao Deng and Prof. Shangbin Cui)

38.A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application, Electron. J. Diff. Equa. , Vol. 03 (2010), 1–18.

39.Well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces, Nonlinear Anal. TMA. , 73 (2010), 2088–2100. (with Dr. Chao Deng and Prof. Shangbin Cui)

40.Existence of infinitely many weak solutions for the p -Laplacian with nonlinear boundary conditions, Nonlinear Anal. TMA. , 69 (2008), 1343–1355. (with Prof. Peihao Zhao)

41.Infinitely many weak solutions for a p -Laplacian equation with nonlinear boundary conditions, Electron. J. Diff. Equa. , Vol. 90 (2007), 1–14. (with Prof. Peihao Zhao) ^[1] 

2015年7月—9月 北京應用物理與計算數學研究所 訪問江松院士

2015年5月22—25日 華中師範大學 調和分析及其應用國際會議(The International Conference on Harmonic Analysis and Application)

2014年8月20—22日 蘭州大學 非線性分析與動力系統學術研討會(Workshop on Nonlinear Analysis and Dynamical Systems)

2013年7月—9月 浙江大學數學系 訪問張挺教授

2012年7月1—3日 華南師範大學 液晶流的數學分析及應用(Workshop on Mathematical Analysis and Applications of Liquid Crystals and Related Topics )

2011年7月14—30日 中山大學 第九屆非線性偏微分方程暑期講習班暨學術會議

2011年7月11—14日 陝西師範大學 第八屆華東偏微分方程會議暨第二屆反應擴散方程與生物數學國際研討會(The 8th East China Partial Differential Equations Conference & The 2nd International Workshop on Reaction-Diffusion Models and Mathematical Biology) ^[1]