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Gengsheng Wang

Professor

Homepage: http://maths.whu.edu.cn/shizililiang/2/2012-12-20/1356.html

Tel:

Email: wanggs62@yeah.net; wanggs@tju.edu.cn

Research Interests
• Control theory in distributed systems, in particular, time optimal controls, periodic feedback stabilization and controllability. Recently, more concerns on sampled-data controls and impulsive controls

• Heat kernel estimates

• Eigenvalue estimates

Education
• 1979.09—1983.06 B.S., Mathematics, Wuhan University, China

• 1983.09—1986.06 M.Sc., Mathematics, Wuhan University, China

• 1989.09—1994.06 Ph.D, Applied Mathematics, Ohio University, USA
Publications

(a) Monograph
•G. Wang and Y. Xu, Periodic Feedback Stabilization for Linear Periodic Evolution Equations, SpringerBriefs in Mathematics,ISBN 978-3-319-49237-7, DOI 10.1007/978-3-319-49238-4, 2016.
(b) Papers
• G. Wang, M. Wang and Y. Zhang, Observability and unique continuation inequalitiesfor the Schrodinger equation, J. Eur. Math. Soc., to appear.

• S. Qing and G. Wang,Equivalence between minimal time and minimal norm control problems for the heat equation, SIAM J. Control and Optim., to appear.

• G. Wang, D. Yang and Y. Zhang, Time optimal sampled-data controls for the heat equation, C. R. Acad. Sci. Paris. Ser. I 355 (2017) 1252-1290.

• S. Qing and G. Wang, Controllability of impulse controlled systems of heat equations coupled by constant matrices, J. Differential Equations, 263 (2017) 6456-6495.

• K. D. Wang, G. Wang and Y. Xu, Impulse output rapid stabilization for heat equations, J. Differential Equations, 263 (2017) 5012-5041.

• G. Wang and C. Zhang, Observability inequalities from measurable sets for some abstract evolution equations. SIAM J. Control and Optim. 55 (2017) 1862-1886.

• G. Wang and Y. Zhang, DECOMPOSITIONS AND BANG-BANG PROPERTIES, MathematicalControl and Related Field, Vol 7. No. 1 (2017) 73-170.

• M. Tucsnak, G. Wang and C. Wu, Perturbations of time optimal control problems for a class of abstract parabolic systems, SIAM J. Control and Optim., 54 (2016) 2965-2991.

• G. Wang, Y. Xu and Y. Zhang, Attainable subspaces and the bang-bang property of time optimal controls for heat equations, SIAM J. Control and Optim., 53 (2015) 592-621.

• W. Gong, G. Wang and N. Yan, Approximations of elliptic optimal control problems with controls acting on a lower dimensional manifold, SIAM J. Control and Optim., 52 (2014) 97-119.

• G. Wang and Y. Xu, Equivalent conditions on periodic feedback stabilization for linear periodic evolution equations, J. Funct. Anal., 266 (2014) 5126-5173.

• J. Apraiz, L. Escauriaza, G.Wang and C. Zhang, Observability inequalities and measurable sets, J. Eur. Math. Soc., 16 (2014) 2433-2475.

• G. Wang and Y. Xu, Periodic stabilization for linear time-periodic ordinary differential equations, ESAIM COCV, 20 (2014) 269-314.

• P. Lin and G. Wang, Properties for some blowup parabolic equations and their applications. Journal de Mathématiques Pures et Appliquées, 101(2014) 223-255.

• K-D Phung and G. Wang, An observability estimate for parabolic equations from a measurable set in time and its applications, J. Eur. Math. Soc., 15,2 (2013) 681-703.

• G. Wang and Y. Xu, Equivalence of three different kinds of optimal control problems and its applications, SIAM J. Control and Optim., 51 (2013) 848-880.

• G. Wang and E. Zuazua, On the equivalence of minimal time and minimal norm controls for internally controlled heat equations, SIAM J. Control and Optim., 50 (2012) 2938-2958.

• G. Wang and G. Zheng, An approach to the optimal time for a time optimal control problem of an internally controlled heat equation. SIAM J. Control and Optim., 50 (2012) 601-628.

• Q. Lv and G. Wang, On the existence of time optimal controls with constraints of the rectangular type for heat equations. SIAM J. Control and Optim., 49 (2011) 1124-1149.

• P. Lin and G. Wang, Blowup time optimal control for ordinary differential equations. SIAM J. Control and Optim., 49 (2011) 73-105.

• K-D Phung and G. Wang, Quantitative unique continuation for the semilinear heat equation in a convex domain, J. Funct. Anal.,259 (2010) 1230-1247.

• G. Wang, $L^infty$-null controllability for the heat equation and its consequences for the time optimal control. SIAM J. Control and Optim., 47 (2008) 1701-1720.

• G. Wang and D. Yang, Decomposition of vector-valued divergence free Sobolev functions and shape optimization for stationary Navier-Stokes equations. Comm. PDE, 33 (2008) 1-21.

• L. Lei and G.S. Wang, Optimal control of semilinear parabolic equations with k-approximate periodic solutions. SIAM J. Control and Optim., 46 (2007) 1754-1778.

• K-D Phung, G. S. Wang and X.Zhang, Existence of time optimal control of evolution equations. Discrete and Continuous Dynamical Systems, Ser. B, Vol. 8, No. 4 (2007) 925-941.

• G. Wang, L. Wang and D. Yang, Shape optimization of elliptic equations in exterior domains. SIAM, J. Control and Optim., 45 (2006) 532-547.

• V. Barbu and G.S.Wang, Feedback stabilization of periodic solutions to nonlinear parabolic evolution systems.Indiana Uni. Math. J., 54, 6 (2005) 1521-1546.

• L. Wang and G. Wang, Time optimal control of Phase-field systems. SIAM J. Control And Optim., 42 (2003) 1483-1508.

• G. Wang, Optimal controls of 3-dimensional Navier-Stokes equations with state constraints. SIAM. J.Control and Optim., 41 (2002) 583-606.

• G. Wang and L. Wang, State-constrained optimal control governed by non-well posed semilinear parabolic differential equation. SIAM J. Control and Optimization, 40 (2002) 1517-1539.

• G. Wang, Optimal control of parabolic differential equations with two point boundary state constraints. SIAM J. Control Optim., 38 (2000) 1639-1654.


Center for Applied Mathematics, Tianjin University, No.92 Weijin Road, Tianjin 300072, P. R. China