Welcome to Changyou Wang's homepage

Position

Professor of Mathematics, University of Kentucky.

Education

Ph.D: Department of Mathematics, Rice University. May 1996
Ph.D. advisor: Robert M. Hardt, W. L. Moody Professor of Mathematics.
MS: Institute of Mathematics, Academia Sinica, P.R. China. May 1992.
BS: Department of Mathematics, Beijing Normal University. July 1989.

Contact Informations

Department of Mathematics
University of Kentucky
Lexington, KY 40506-0027
Phone: (859) 257-4734
Fax: (859) 257-4078
Email: cywang@ms.uky.edu
Office: 771 POT.

Area of Research

Partial Differential Equations
Calculus of Variations
Geometrical Analysis
Application of Geometry Measure Theory
The list of my publications from AMS MathSciNet (license to MathSciNet is required)

Professional Services

Member of Editor Board of The Open Mathematics Journal, an online mathematics journal from Bentham Science Publishers
Member of Editor Board of Journal of Advanced Research in Differential Equations from Institute of Advanced Scientific Research
Amy Wang, visiting Centre College, Danville JPG file

Current teaching schedule

On scholarly leave: visit IMA from September 2009 to June 2010.

Courses previously taught

Spring 2009

MA214, Calculus IV

MA 773, Introduction to Geometric Measure Theory

Spring 2007

MA214, Calculus IV
MA641G, Differential Geometry

Fall 2007

MA213, Calculus III
MA575, Principle of Mathematical Analysis

Spring 2008

MA114, Calculus II
MA 676, Analysis I

Fall 2008

MA 213, Calculus III
MA 677, Analysis II

Previous analysis/pde seminar

Previous Publications (Partially supported by NSF grants):

Click here to access the list of publications

Recent Publications (The research reported in the following papers is supported by NSF grants DMS 0400718 and DMS 0601162)

Stable stationary harmonic maps into spheres. Acta Math. Sinica (Engl. Ser.) 22 (2006), no. 2, 319-330 (with FangHua Lin). pdf file.
On Landau-Lifshitz equation in dimensions at most four. Indiana Univ. Math. J. Vol. 55, no.6 (2006) 1615-1644. dvi file.
Generalized cone comparison principle for viscosity solutions of the Aronsson equation and absolute minimizers. Comm. P.D.E. V. 31, No. 7 (2006) 1027-1046 (with R. Gariepy, Y. Yu). dvi file .
The Aronsson equation for absolute minimizers of $L^\infty$ functionals associated with vector fields satisfying H\"ormander's conditions. Trans. AMS. 359 (2007), 91-113. dvi file.
Heat flow of biharmonic maps in dimension four and its application. Pure and Applied Math. Quarterly, Vol. 3, No. 2 (2007) 595-613 (Special issue: In honor of L. Simon, Part 1 of 2). pdf file.
Finite time singularity of the Landau-Lifshitz-Gilbert equation. Int. Math. Reas. Notices, Vol. 2007 (with Shijin Ding). pdf file
Asymptotic behavior of infinity harmonic functions near an isolated singularity. Int. Math. Reas. Notices, Vol. 2008, article ID rnm163, 23 pages (with O. Savin, Y. Yu). pdf file .
Heat flow of harmonic maps whose gradients belong to $L^n_xL^\infty_t$. Arch. Rational Mech. Anal. 188 (2008), 309-349. pdf file
Harmonic maps from manifolds of $L^\infty$-Riemannian metrics. Calc. Var. & PDE (2008), Vol 32, 387-405 (with W. Ishizuka). pdf file .
$C^1$-regularity of the Aronsson equation in $\R^2$, Annales I'Institut H. Poincar\'e- Analyse non lin\'eaire, 25 (2008) 659-678 (with Y. Yu). dvi file .
Uniqueness and nonuniqueness of viscosity solutions to Aronsson's equation. Arch. Ration Mech. Anal. (with R. Jensen, Y. Yu), Vol. 190, no. 2 (2008) 347-370. pdf file .
Derivation of the Aronsson equation for C-1 Hamiltonians. Trans. AMS 361 (2009) 103-124(with M. Crandall, Y. Yu). pdf file .
Aronsson's equation on Carnot-Carath\'eodory spaces. To appear, Illinois Journal of Mathematics (with Y. Yu). pdf file .
Boundary regularity for polyharmonic maps in the critical dimension. To appear, Advances in Calculus of Variations (with T. Lamm). pdf file .
An open question on regularity of Aronsson's equation. Communications in Mathematical Analysis, Proceeding of the 2006 Midwest Geometry Conference, pp. 80-83 (2008), edited by E. B. Lin, W. Wei. pdf file
A Remark on Nonlinear Dirac Equations. To appear, Proceedings of American Mathematical Society pdf file .
Regularity of Dirac-harmonic maps. To appear, Int. Math. Reas. Notices, (with D. L. Xu). pdf file .
Landau-Lifshitz-Maxwell equation in dimension three. To appear, Pacific J. Math. (with S.J. Ding, X.G. Liu). pdf file .
Liquid crystall flows in two dimensions. To appear, Arch. Ration. Mech. Anal. (with F. H. Lin, J. Y. Lin) pdf file

Preprints

Notes on the regularity of harmonic map systems. Preprint (2009) (with T. Huang) pdf file
Compressible hydrodynamic flow of liquid crystals in 1D. Preprint (2009) (with S. J. Ding, J. Y. Lin, Y. H. Wen) pdf file .
On the heat flow of equation of surfaces of constant mean curvature. Preprint (2009) (with T. Huang, Z. Tan) pdf file .
On the Keller-Rubinstein-Sternberg problem, I. In preparation (with F. H. Lin, X. B. Pan).
Partial regularity of suitable weak solutions to the liquid crystal flow in three dimensions. In preparation (with F. H. Lin).

Monography

The Analysis of Harmonic Maps and Their Heat Flows, 267 pages (with F. H. Lin), by World Scientific Publisher Inc, ISBN-109812779523.
An Introduction of Infinity Harmonic Functions. Preprint, 2008. pdf file .