CURRICULUM VITAE
1. PERSONAL INFORMATION
Gengsheng Wang, Male, Born on March 3th, 1962. LUJIA Professor, School of
Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R.C.
1.1. Educational Background
Ph.D, June 1994, Ohio University
M.A. June 1986, Wuhan University
B.A. June 1983, Wuhan University
1.2. Employment
Director of Mathematical Institute of Wuhan University, 2010-Present.
LUOJIA Professor, Wuhan University, 2007-Present
Professor, Wuhan University, 2005-Present
Visiting Professor, Sichuan University, 2006-Present
Professor, Huazhong Normal University, 1998-2005
Director of The University Scientific Research Office, Huanzhong Normal University,
1999-2004.
Director of The State Key Lab of Hubei Province—Optimal Control and Discrete
Math. Key Lab, 2002-2007.
Associate Professor, Huazhong Normal University, 1996-1998
2. RESEARCH, SCHOLARLY, AND CREATIVE ACTIVITIES
a. Articles in Refereed Journal
[1] P. Lin and G. Wang, Properties for some blowup parabolic equations and their
applications. To appear in Journal de Mathmatiques Pures et Appliques.
[2] J. Apraiz, L. Escauriaza, G.Wang and C. Zhang, Observability inequalities and
measurable sets. To appear in J. Eur. Math. Soc..
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[3] 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.
[4] 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.
[5] 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.
[6] 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.
[7] G.Wang and L.Wang, Finite element approximations of optimal controls for the
heat equation with end-point state constraints. International Journal of Numerical
Analysis and Modeling, 9 (2012) 834-875.
[8] 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.
[9] P. Lin and G. Wang, Blowup time optimal control for ordinary differential equations.
SIAM J. Control and Optim., 49 (2011) 73-105.
[10] G. Wang and G. Zheng The optimal control to restore the periodic property
of a linear evolution system with small perturbation. Discrete and continuous Dynamical
Systems-Series B14 4 (2010) 1621-1639.
[11] K-D Phung and G. Wang, Quantitative unique continuation for the semilinear
heat equation in a convex domain, Journal of Functional Analysis. 259 (2010)
1230-1247.
[12] G. Wang and X. Yu, Error estimates for an optimal control problem governed
by the heat equation with state and control constraints. International Journal of
Numerical Analysis and Modeling, Vol.7., No.1 (2010) 30-65.
[13] G. Wang, L1-null controllability for the heat equation and its consequences
for the time optimal control. SIAM J. Control and Optim., 47 (2008) 1701-1720.
[14] 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.
[15] L. Lei and G.S.Wang, Optimal control of semilinear parabolic equations with kapproximate
periodic solutions. SIAM J. Control and Optim., 46 (2007) 1754-1778.
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[16] 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.
[17] G. wang and L. Wang, The bang-bang principle of time optimal controls for
the heat equation with internal controls. Systems and Control Letters, 56 (2007)
709-713.
[18] G. Wang, L. Wang and D. Yang, Shape optimization of elliptic equations in
exterior domains. SIAM, J. Control and Optim., 45 (2006) 532-547.
[19] G. Wang and L. Zhang, Exact Local Cintrollability of a one-Control Reaction-
Differentail System. Journal of Optimization Theory and Applications. Vol. 131,
No.3 (2006) 453-467.
[20] L. Lei, G.Wang and L. Zhang, The quantitative estimate of unique continuation
and the cost of approximate controllability for coupled parabolic systems.
Contemparary Math., 400 (2006) 147-159.
[21] G. Marinoschi and G. Wang, Identification of the rain rate for a boundary
value problem of a rainfall infiltration in a porous medium. Numerical Functional
Analysis and Optim., 27 (2006) 189-205.
[22] G. Marinoschi and G. Wang. Indentification of the rain rate for a boundary
value problem of a rainfall infiltration in a porous medium, Determination of the
conditions of optimality, Numerical Functional Analysis and Optim., 27(2006) 207-
236.
[23] K-D Phung and G. Wang, Quantitative uniqueness for time periodic heat
equation with potential and its applications. Differential and Integral Equations,
19 (2006) 627-668.
[24] 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.
[25] G. Wang, Optimal Control of Non-well-posed Heat Equations. Acta Mathematica
Sinica, English Series, 21, 5 (2005) 1005-1014.
[26] G. Wang, Optimal control of non-well-posed heat equations. Acta Mathematica
Sinica, 25, 1 (2005) 7-22.
[27] G.Wang and L.Wang, Identification of nonlinearity in periodic parabolic equations.
Numerical Functional and Optim., 25 (2004) 183-197.
[28] G. Wang, The existence of time optimal control of semilinear parabolic equations.
System Control Letter, 53 (2004) 171-175.
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[29] C. Jia and G. Wang, Identifications of parameters in ill-posed linear parabolic
equations. Nonlinear analysis, 57 (2004) 677-686.
[30] G.Wang, Pontryagin’s maximum principle of optimal control governed by some
non-well posed semilinear parabolic differential equations. Nonlinear Analysis, 53
(2003) 601-618.
[31] G.Wang and L.Wang, Maximum principle of optimal control of non-well posed
elliptic differential equations. Nonlinear Analysis, 54 (2003) 41-67.
[32] G. Wang, Stabilization of the Boussinesq equation via internal feedback controls.
Nonlinear Analysis, 52 (2003) 485-506.
[33] G. Wang and L. Wang, Local internal controllability of the Boussinesq system.
Nonlinear Analysis, 53 (2003) 637-652.
[34] G. Wang and L. Wang, Maximum Principle of state constrained optimal control
governed by fluid dynamic systems. Nonlinear Analysis, 52 (2003) 1911-1931.
[35] G. Wang, Maximum principle of optimal control of stationary Navier-Stokes
equations. Nonlinear Analysis, 52 (2003) 1853-1866.
[36] G. Wang and L. Wang, The Carleman inequality and its application to periodic
optimal control governed by parabolic system. Journal of Optimization Theory and
Application, 118 (2003) 429-461.
[37] L. Wang and G. Wang, Time optimal control of Phase-field systems. SIAM J.
Control And Optim., 42 (2003) 1483-1508.
[38] S. Li and G. Wang, The time optimal control of the Boussinesq equation. Numerical
Functional and Optim., 24 (2003) 163-180.
[39] V. Barbu and G. Wang, Feedback stablization of semilinear heat equation.
Abstract Analysis and Applications, 12 (2003) 697-714.
[40] V. Barbu and G. Wang, Internal stabilization of semilinear parabolic systems.
J. Math. Anal. Appl, 285 (2003) 387-407.
[41] Y. Deng, Z. Gua and G. Wang, Nodal solutions for p-Laplace equations with
critical growth. Nonlinear Analysis, 54 (2003) 1121-1151.
[42] G.Wang, Optimal controls of 3-dimensional Navier-Stokes equations with state
constraints. SIAM. J.Control and Optim., 41 (2002) 583-606.
[43] G. Wang, Optimal control problems governed by non-well-posed semilinear elliptic
equation. Nonlinear Analysis, 49 (2002) 315-333.
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[44] G. Wang, Potryagin maximum principle of optimal control governed by Fluid
Dynamic systems with two point boundary state constraint. Nonlinear Analysis,
51 (2002) 509-536.
[45] 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.
[46] C. Liu and G. Wang, Maximum Principle for state-constrained control of some
semilinear parabolic differential equations. Journal of Optimization Theory and
Applications, 115 (2002) 183-209.
[47] G. Wang and L. Wang, State-constrained optimal control un Hilbert space.
Numerical Functional Analysis and Optimization, 22 (2001) 255-276.
[48] W. Li, G. Wang and Y. Zhao, Optimal control governed by a semilinear elliptic
differential equation. Nonlinear Analysis, 44 (2001) 957-974.
[49] W. Li, G. Wang and Y. Zhao, Some optimal control problems governed by
elliptic variational inequalities with control and state constraint on the boundary.
Journal of Optimization Theory and Applications, 106 (2000) 627-655.
[50] G. Wang, Optimal control of parabolic variational inequality involving state
constraint, Nonlinear Analysis, 42 (2000) 789-801.
[51] G. Wang, Optimal control of parabolic differential equations with two point
boundary state constraints. SIAM J. Control Optim., 38 (2000) 1639-1654.
[52] S. Chen and G. Wang, Maximum ptinciple for optimal control of some parabolic
systems with two point boundary conditions. Numerical Functional Analysis
and Optimizations, 20 (1999) 163-174.
[53] Y. Deng and G. Wang, Optimal control of some semilinear elliptic equations
with critical exponent. Nonlinear Analysis, 36 (1999) 915-922.
[54] Y. Deng, G. Wang, On inhomogeneous biharmonic equations involving critical
exponents, Proc. Roy. Soc. Edinburgh Sect.A 129 (1999) 925-946.
[55] Y. Deng and G. Wang, Necessary conditions for optimal control problems
governed by some nonlinear parabolic differential equations. Panamerican Mathematical
Journal, 8 (1998) 67-80.
b. Preprints
[1] G. Wang and Y. Xu, Advantages for control imposed in a proper subset. Submitted,
arXiv:1201.3967v1.
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[2] G. Wang and Y. Xu, Periodic stabilization for linear time-periodic ordinary differential
equations. Submitted.
[3] W. Gong, G. Wang and N. Yan, Approximations of elliptic optimal control problems
with controls acting on a lower dimensional manifold. Submitted.
[4] G. Wang and Y. Xu, equivalent conditions on periodic feedback stabilization for
linear periodic evolution equations. Preprint.
c. Grants
2011-1014, National Basis Research Program of China (973 Program) under grant
2011CB808002
2012-2105, NSF of China, No. 11171264
2012-2104, NSF of China, No. 11161130003
2009-2011, NSF of China, No. 10501039
2006-2008, NSF of China, No. 60574017
2005-2007, NSF of China, No. 10474017
2002-2004, NSF of China No. 10071028
2000-2002, NSF of China No. 60174043
2002-2004, Key project of the National Ministry of Education, China
2003-2005, Key project of the National Ministry of Education, China
2005-2007, Key project of the National Ministry of Education, China
2003-2007, The key Lab Project of Hubei Province of China
e. Awards
1. The state natural science award of Hubei province (the first class), 2004.
2. The national ”New Century hundred, thousand and ten thousands Excellent
persons” award, 2004.
f. Editorships and Reviewing Activities
1. Excutive Editor, International Journal on Numerical Analysis and Modeling,
2009-Present.
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2. Associate editor, ESIAM, Control, Optimization and Calculus, 2009-Present.
3. Associate Editor, Mathematical Control and Related Fields. 2011-present.