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Bingyu Zhang
Professor
806C Old Chemistry Building
513-556-4060
bingyu.zhang@uc.edu
Education
Ph. D., University of Wisconsin-Madison, 1990.
MS, Chinese Academy of Sciences, 1984 (Mathematics).
BS, Sichun University, 1982 (Mathemtics).
Positions & Work Experience
1990-1995, Asssitant Professor, Department of Mathematical Sciences , University of Cincinnati.
1995-2000, Associate Professor, Department of Mathematical Sciences , University of Cincinnati.
2000 to Present, Professor, Department of Mathematical Sciences , University of Cincinnati.
09-1992-08-1994, Postdoctoral member in industrial mathematics, Institute for Mathematics and Its Applications, University of Minnesota.
05-1996-06-1996, Visting Professor, Department of Mathematics, University of Strabourg, France.
07-1997-, Visting Professor, Institue of Elie Cartan, University of Nancy I, France.
01-1998-05-1998, Research Fellow, Texas Institute of Computational and Applied Mathematics, University of Texas-Austin.
05-2001-, Visting Professor, Texas Institute of Computational and Applied Mathematics, University of Texas-Austin.
06-2003-, Visting Professor, Institue of Elie Cartan, University of Nancy I, France.
07-2005-, Visting Professor, Department of Mathematics, University of Strabourg, France.
03-2006-04-2006, Visting Professor, Department of Mathematics, University of Illinois at Chicago.
05-2008-07-2008, Visting Professor, Laboratoire Jacques Louis Lions, University of Paris VI, France.
Peer Reviewed Publications
Exact boundary controllability of the nonlinear Schroedinger equation (with L. Rosier), . J. Differential Equations, 246 (2009), no. 10, 4129--4153.
Null controllability of the complex Ginzburg-Landau equation (with L. Rosier), Ann. Inst. H. Poincaré Anal. Non Linéaire, 26 (2009), no. 2, 649--673.
Control and stabilization of a family of Boussinesq systems (with S. Micu, J. H. Ortega and L. Rosier), Discrete Contin. Dyn. Syst. 24 (2009), no. 2, 273--313.
Local exact controllability and stabilizability of the nonlinear Schr—dinger equation on a bounded interval (with L. Rosier), SIAM J. Control Optim. 48 (2009), no. 2, 972--992.
Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane (with J. Bona and S.-M. Sun), Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 6, 1145--1185.
Controllability of the Ginzburg-Landau equation (with L. Rosier), C. R. Math. Acad. Sci. Paris, 346 (2008), no. 3-4, 167--172.
Forced oscillations of a class of nonlinear dispersive wave equations and their stability (with M. Usman), J. Syst. Sci. Complex. 20 (2007), no. 2, 284--292.
Comparison of quarter-plane and two-point boundary vlaue problems: the KdV-equation (with J. Bona, H. Chen and S.-M. Sun), Discrete Contin. Dyn. Syst. Ser. B 7 (2007), no. 3, 465--495
Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain (with L. Rosier), SIAM J. Control Optim. 45 (2006), no. 3, 927--956
Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications (with J. Bona and S.-M. Sun), Dyn. Partial Differ. Equ. 3 (2006), no. 1, 1--69.
Comparison of quarter-plane and two-point boundary value problems: the BBM-equation (with J. Bona, H. Chen and S.-M. Sun), Discrete Contin. Dyn. Syst. 13 (2005), no. 4, 921--940.
Forced oscillations of a damped Benjamin-Bona-Mahony equation in a quarter plane (with Y.M. Yang), Control Theory of Partial Dierential Equations, Lecture Notes in Pure and Applied Mathematics, vol. 242 (2005), 375-376.
On conditional and unconditional well-posedness of nonlinear evolution equations (with J. Bona and S.-M. Sun), Adv. Diff. Eqns., 9 (2004), 241--265.
Forced oscillations of a damped KdV equation in a quarter plane (with J. . Bona and S.-M. Sun), Comm. Contemp. Math. 5 (2003), 369--400.
A nonhomogeneous boundary value problem for the KdV equation posed on a nite domain (with J. Bona and S.-M. Sun), Comm. PDEs 28 (2003), 1391--1436.
A nonhomogeneous boundary value problem for the Korteweg-de Vries equation in a quarter plane (with Jerry. L. Bona and Shuming Sun), Trans. Amer. Math. Soc., 354 (2001), 427 --490.
Forced oscillation of the Korteweg-de Vries-Burgers equation and its stability, Control of Nonlinear Distributed Parameter Systems, Lecture Notes in Pure and Appl. Math., 218 (2001), 337--357.
Computable analysis of the Korteweg-de Vries equation (with W. Gay and N. Zhong), Math. Log. Quart. 47 (2001), 93 --110.
Exact boundary controllability of the Korteweg-de Vries equation, SIAM Cont. & Optim., 37 (1999), 543 --565.
Global exact boundary controllability of a class of quasi-linear hyperbolic systems (with T.-S. Li), J. Math. Anal. Appl., 225 (1998), 289--311.
Robustness analysis of dynamic inversion control laws applied to nonlinear aircraft pitch-axis models (with Blaise Morton), Nonlinear Analysis Theory, Methods & Applications, 32 (1998), 501-532.
Boundary control of a linear thermoelastic beam (with Scott W. Hansen), J. Math. Anal. Appl., 210 (1997), 182-205.
A nite element method for an initial value inverse problem with over-specied boundary data (with T. Lin), Journal of Mathematical Systems, Estimates and Control, 7 (1997), 305-342.
A unique continuation result for the nonlinear Schrodinger equation, Proceedings of the Royal Society of Edinburgh, 127A (1997), 191 --205.
Stability of dynamic inversion control laws applied to nonlinear aircraft pitch-axis models (with Blaise Morton and Dale Enns), International Journal of Control, 63 (1996), 1 --25.
Exact controllability and stabilizability of the Korteweg-de Vries equation (with David L. Russell), Transaction of American Mathematical Society, 348 (1996), 3643--3672.
The initial value problem for the forced Korteweg-de Vries equation (with Jerry L. Bona), Proceedings of the Royal Society of Edinburgh, Section A, 126A (1996), 571--598.
A remark on the Cauchy problem for the Korteweg-de Vries equation on a periodic domain, Differential and Integral Equations, 8 (1995), 1191-- 1204.
Analyticity of solutions of the generalized Korteweg-de Vries equations with respect to their initial values, SIAM J. Math. Anal., 26 (1995), 1488-1513.
Taylor series expansion for solutions of the Korteweg-de Vries equation with respect to their initial values, J. Func. Anal., 129 (1995), 293 { 324.
Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation (with David L. Russell), J. Math. Anal. Appl., 190 (1995), 449 -- 488.
On propagation speed of evolution equations, J. Diff. Eqns., 107(1994), 290--309.
Controllability and stabilizability of the third order linear dispersion equation on a periodic domain, (with D. L. Russell), 31(1993), 659 --676.
Hardy function and unique continuation for evolution equations, J. Math. Anal. Appl., 178(1993), 381--403.
Unique continuation for the Korteweg-de Vries equation, SIAM J. Math. Anal., 23(1992), 55-71.
Stablisation de l'equation de Korteweg-de Vries (with V. Komornik and D. L. Russell), C. R. Acad. Sci. Paris, 312(1991), 841--843.
