Academic Area: Mathematics

Research Interests: Nonlinear and Stochastic partial differential equations

Academic Degrees

1. Ph.D: Pure Mathematics, Institute of Mathematics, Chinese Academy of Sciences, Beijing, China, August 1996.

2. M.S: Applied Mathematics, Department of Mathematics, Huazhong University of Science and Technology, Wuhan, China, December 1989.

3. B.S: Applied Mathematics, Department of Mathematics, Huazhong University of Science and Technology, Wuhan, China, July 1986.

Professional Experience

1. Full Professor, School of Mathematics & Statistics, Huazhong University of Science and Technology, 11/2005-present.

2. Associate Professor, School of Mathematics & Statistics, Huazhong University of Science and Technology, 06/1997-10/2005.

3. Visiting Associate Professor, Institute of Biomathematics, Urbino University, Italy , 11/2000-09/2001.

4. Lecturer, School of Mathematics & Statistics, Huazhong University of Science and Technology, 07/1992-05/1997.

5. Assistant Professor, School of Mathematics & Statistics, Huazhong University of Science and Technology, 04/1990-06/1992.

Selected Publications (*=Corresponding author)

[43] Junjun Kang, Yanbin Tang∗.Value Function Regularity in Option Pricing Problems Under a Pure Jump Model, Appl. Math. Optim. 76:2,303-321, 2017

[42] Yanghai Yu, Xing Wu, Yanbin Tang∗.Global regularity of the 2D liquid crystal equations with weak velocity dissipation, Comput. Math. Appl., 74:5,920-933,2017

[41] Junjun Kang, Yanbin Tang∗. Asymptotical behavior of partial integral-differential equation on nonsymmetric layered stable processes, Asymptotic Analysis, 102,55-70, 2017

[40] Xing Wu, Yanghai Yu, Yanbin Tang∗. Global existence and asymptotic behavior for the 3D generalized Hall-MHD system, Nonlinear Anal. 151,41-50, 2017

[39] Yanghai Yu, Xing Wu, Yanbin Tang∗. Well-posedness of a 1D transport equation with nonlocal velocity in the Lei-Lin space, Math. Meth. Appl. Sci., 40:4,947-956, 2017

[38] Xing Wu, Yanghai Yu, Yanbin Tang∗: Global well-posedness of the 3D incompressible porous media equation with critical dissipation in Triebel-Lizorkin spaces，Boundary Value Problems, 2016:117, 2016

[37] Yanghai Yu, Xing Wu, Yanbin Tang∗: A magnetic regularity criterion for the 2D MHD equations with velocity dissipation，Boundary Value Problems, 2016:113, 2016

[36] Yantao Guo, Ming Wang, Yanbin Tang∗. Higher regularity of global attractors of a weakly dissipative fractional KdV equation, Journal of Mathematical Physics, 56:12, 122702, 2015

[35] Junjun Kang, Yantao Guo, Yanbin Tang*. Local well-posedness of generalized BBM equations with generalized damping on 1D torus, Boundary Value Problems, 2015:227, 2015

[34] Gang Wang, Yanbin Tang. Exponential attractors for reaction-diffusion equations in $H^2 (\Omega)$ and $L^{2p-2}(\Omega)$, Acta Mathematica Scientia, 35A(4)641–650, 2015

[33] Yantao Guo, Shuilin Cheng, Yanbin Tang*. Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay, Discrete Dynamics in Nature and Society, Article ID 721673, 2015

[32] Hu, X.R. and Tang, Y.B. (2015) Deviations of Steady States of the Traveling Wave to a Competition Diffusion System with Random Perturbation. Journal of Applied Mathematics and Physics, 3, 496-508

[31] Ezi Wu, Yanbin Tang∗. Blow-up solutions to the Cauchy problem of a fractional reaction- diffusion system, Journal of Inequalities and Applications, 2015:123, 2015

[30] Yantao Guo, Ming Wang and Yanbin Tang∗. Higher regularity of global attractor for a damped Benjamin–Bona–Mahony equation on R, Applicable Analysis: An International Journal, 94:9, 1766- 1783, 2015

[29] Yantao Guo and Yanbin Tang∗. Blow-up for the weakly dissipative generalized Camassa- Holm equation, Journal of Inequalities and Applications, 2014:514, 2014

[28] Shuilin Cheng, Yantao Guo and Yanbin Tang∗. Stochastic viscoelastic wave equations with nonlinear damping and source terms, Journal of Applied Mathematics, vol. 2014, Article ID 450289, 15 pages, 2014

[27] Gang Wang, Yanbin Tang∗. Random attractors for stochastic reaction-diffusion equations with multiplicative noise in H_0^1, Mathematische Nachrichten, 287:14–15, 1774–1791, 2014

[26] Shuilin Cheng, Yantao Guo and Yanbin Tang∗. Stochastic nonlinear thermoelastic system coupled sine-Gordon equation driven by jump noise, Abstract and Applied Analysis, vol. 2014, 12pp., Article ID 403528, 2014

[25] Ming Wang, Yanbin Tang∗. Long time dynamics of 2D quasi-geostrophic equations with damping in L^p, Journal of Mathematical Analysis and Applications, 412 (2014) 866–877

[24] Ming Wang, Yanbin Tang∗. On dimension of the global attractor for 2D quasi- geostrophic equations, Nonlinear Analysis: Real World Applications 14 (2013) 1887–1895

[23] Ming Wang, Yanbin Tang∗. Attractors in H^{2} and L^{2p-2} for reaction diffusion equations on unbounded domains. Communications on Pure and Applied Analysis，12:2 (2013) 1111-1121

[22] Ezi Wu, Yanbin Tang∗. Random perturbations of reaction-diffusion waves in biology. Wave Motion，49:7 (2012) 632–637

[21] Ming Wang, Dongfang Li, Chengjian Zhang, Yanbin Tang. Long time behavior of solutions of gKdV equations. Journal of Mathematical Analysis and Applications, 390 (2012) 136-150

[20]Tao Chen, Zhe Chen and Yanbin Tang∗. Finite dimensionality of global attractors for a non- classical reaction–diffusion equation with memory, Applied Mathematics Letters 25:3 (2012) 357–362

[19] Tao Chen, Zhe Chen and Yanbin Tang∗. Global attractors for a non classical reaction diffusion equation with memory, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Math Analysis 18:5(2011), 569-578

[18] Yanbin Tang. Exponential Stability of Nonlocal Time-delayed Burgers Equation. Pers- pectives in Mathematics Sciences: Interdisciplinary Mathematical Sciences, 9(2009), 263-272

[17] Yanbin Tang, Ming Wang. A Remark on Exponential Stability of Time-delayed Burgers Equation. Discrete and Continuous Dynamical Systems, Series B, 12:1 (2009), 219-225

[16] Yanbin Tang，Jianli Wang. Bifurcation Analysis on a Reactor Model with Combination of Quadratic and Cubic Steps, Journal of Mathematical Chemistry, 46:4 (2009),1394-1408

[15] Jinliang Wang, Li Zhou, Yanbin Tang. Asymptotic periodicity of the Volterra equation with infinite delay. Nonlinear Analysis, TMA, 68:2 (2008), 315-328

[14] Yanbin Tang, Li Zhou. Stability Switch and Hopf Bifurcation for a Diffusive Prey Predator System with Delay. Journal of Mathematical Analysis and Applications, 334:2 (2007), 1290- 1307

[13] Yanbin Tang and Li Zhou. Asymptotic behavior of periodic competition diffusion system. Rocky Mountain Journal of Math,36:3 (2006), 1069-1076

[12] Jinliang Wang, Li Zhou, Yanbin Tang. Asymptotic periodicity of a food- limited diffusive population model with time delay. Journal of Mathematical Analysis and Applications, 313 (2006), 381-399

[11] Yanbin Tang, Li Zhou. Hopf Bifurcation and Stability of a Competition Diffusion System with Distributed Delay. Publication of Research Institute for Math Sciences, 41:3 (2005), 579-597

[10] Yanbin Tang. Numerical simulations of periodic traveling waves to a generalized Ginzburg- Landau equation. Appl. Math. Computation, 165:1 (2005), 155-161

[9] Yanbin Tang and Li Zhou. Great time delay in a system with material cycling and delayed biomass growth. IMA Journal of Applied Mathematics. 70:2 (2005), 191-200

[8] Tang Yanbin, Zhou Li and O. Ali. Asymptotic behavior of solutions to the heat equations with nonlinear boundary conditions. Acta Mathematica Scientia, 24B: 2(2004), 307-312

[7] Yanbin Tang and Li Zhou. A sufficient condition for the existence of periodic solution for a reaction diffusion equation with infinite delay. Appl. Math. Computation, 148:2 (2004), 453-460

[6] E. Beretta and Yanbin Tang∗. Extension of a geometric stability switch criterion. Funkcialaj Ekvacioj, 46:3(2003), 337-361

[5] Li Zhou, Yanbin Tang and S. Hussein. Stability and Hopf bifurcation for a delay competition diffusion system. Chaos, Solitons and Fractals, 14(2002), 1201-1225

[4] E. Beretta, F. Solimano and Yanbin Tang∗. Analysis of a chemostat model for bacteria and virulent bacteriophage, Discrete and Continuous Dynamical Systems, Ser. B, 2:4(2002), 495-520

[3] Yanbin Tang, E. Beretta and F. Solimano. Stability Analysis of a Volterra Predator Prey System with Two Delays. Canadian Appl. Math. Quarterly, 9:1(2001), 75-99

[2] Li Zhou, Yanbin Tang and S. Hussein, Periodic Bifurcation Solution for a Delay Competition System, Nonlinear Analysis, TMA, 47:9(2001), 6073 - 6084

[1] Li Zhou and Yanbin Tang. The estimate of the resolvent and stability of traveling wave solutions, Nonlinear Analysis, TMA, 36(5), 559-567, 1999

Courses Taught

1. Mathematical Analysis

2. Complex Analysis

3. Real Analysis

4. Functional Analysis

5. Partial Differential Equations

6. Infinite Dimensional Dynamical Systems

Project

1. Yanbin Tang(PI) (01/2015–12/2018). Asymptotic Behavior and Random Perturbations of Nonlinear Reaction Diffusion Equations. NSF (China) Grant 11471129

2. Yanbin Tang(PI) (07/2013–12/2014). Theory of stochastic partial differential equations and its applications in fluid dynamics and financial economics. FRF for the Central Universities of China at Huazhong University of Science and Technology Grant 2013ZZGH027

3. Yanbin Tang(Co-PI) (01/2009–12/2011). Numerical algorithm and theory of delay differential algebraic system. NSF ( China ) Grant 10871078

4. Yanbin Tang(PI) (01/2003–12/2005). Theory and applications of reaction- diffusion equations with delay. Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry

Invited Talks

1. Asymptotic behavior for the 3D generalized Hall-MHD system, 2017.8.13-16, Northwest Normal University, Lanzhou, China

2. Global regularity of 2D tropical climate model without thermal diffusion, 2017.3.4, National University of Defense Technology, Changsha, China

3. Global regularity of 2D tropical climate model without thermal diffusion, 2016.10.26, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China

4. Value function regularity in option pricing problems under a pure jump model, 2016.9.27, China University of Geosciences, Wuhan, China

5. Value function regularity in option pricing problems under a pure jump model, 2016.6.23-26, First Symposium on Stochastic Partial Differential Equations, Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, China

6. Global well-posedness of the 3D incompressible porous media equation with critical dissipation in Triebel-Lizorkin spaces, 2015.11.6-8, Anhui University, Hefei, China

7. Random perturbations of reaction-diffusion waves in biology, 2015.8.10-14, 8th International Congress on Industrial and Applied Mathematics, Beijing, China

8. Regularity of the value functions in the option pricing problems with a pure jump model, 2015.2.11, National University of Defense Technology, Changsha, China

9. Asymptotic behavior of 2D damped quasi-geostrophic equations in $L^{p}$, 2015.1.10, Jianghan University, Wuhan, China

10. Random attractors for stochastic reaction-diffusion equations with multiplicative noise in $H_0^1$, 2014.2.21, The 5th Wuhan Workshop on Stochastic Dynamics, Huazhong University of Science and Technology, Wuhan, China

11. Asymptotic behavior and attractors of reaction diffusion equations, 2014.8.8-11, Conference on Partial Differential Equations and Their Applications, Huazhong University of Science and Technology, Wuhan, China

12. Long time dynamics of 2D quasi-geostrophic equations with damping in L^p, Conference on Nonlinear Partial Differential Equations, 2013.12.27-29, Anhui University, Hefei, China

13. Hopf bifurcation of Reaction Diffusion Equations, International Workshop on Epidemic Dynamics and Its Stability Analysis, 2013.9.6-7, China University of Geosciences, Wuhan, China

14. Asymptotic behavior and attractors of reaction diffusion equations, 2013.6.16-18, Lanzhou University, Lanzhou, China

15. Attractors in H^2 and L^{2p-2} for reaction diffusion equations on unbounded domains，6th International Conference on Partial Differential Equations & Their Numerical Analysis, 2012.5.14-17, Wuhan, China

16. Regularity of attractors to a reaction diffusion equation on unbounded domains, 2012.12.1-2, National University of Defense Technology, Changsha, China

17. Asymptotic behavior of semilinear reaction diffusion equations on unbounded domains, Conference on modern theory and its numerical algorithms of partial differential equations, 2011.5.7-9, Huazhong University of Science and Technology, Wuhan, China

18. Existence of attractors to a reaction diffusion equation on unbounded domains, 2011.10. 21-22，Northwest Normal University, Lanzhou, China

19. Random perturbations of reaction–diffusion waves in biology, Workshop on dynamical systems and applied mathematics, 2010.7.7-9, Huazhong University of Science and Technology, Wuhan, China