Dr. Li Chen
Department of Mathematical Science,Tsinghua University, Beijing, 100084, P. R. China
E-mail: lchen@math.tsinghua.edu.cn
Tel: +86-10-627-96906-8011(O)
Education
Working Experence
Researching Interests
Teaching
Thesis
Publications
Preprints
Professional Experience
Hobbies
Links
Photos
09/1991---07/1995 B.S. Department of Mathematics, Liaoning University
09/1995---06/1998 M.S. Institute of Mathematics, Jilin University
07/1998---06/2001 Ph.D. Institute of Mathematics, Jilin University
06/2001---07/2003 Post Dr. Academy of Mathematics and System Science, CAS
01/2003---06/2003
07/2004---06/2005Post Dr. Department of Mathematics, Mainz University, Germany
07/2003--- Assistant Prof. Department of Mathematics,Tsinghua University
Nonlinear PDE in Differential Geometry
Nonlinear PDE in Applied Mathematics and Mathematical Physics
Calculus (II), Autumn 2003
Geometry and Algebra (I), Spring 2004
文科数学, Autumn 2005
Mathmatical modelling for semiconductors, Autumn 2005
1. Postdr report: Cross Diffusion Systems in Applied Mathematics. pdf file
2. phD Thesis: Some Problems of Parabolic Monge-Ampere Equation. (in Chinese) ps file Abstract pdf file
3. Master Thesis: Some Remarks on Viscosity Solution to one type of parabolic Monge-Ampere equation.
Mathematical Models in Applied Science
Existence of weak solution and semiclassical limit for quantum drift-diffusion model, (with Q. Ju), accepted by ZAMP, 2005.pdf file
Analysis of a parabolic cross-diffusion population model without self-diffusion, (with A, Juengel), accepted by J. Diff. Eqs., 2005.pdf file
Large Time Behavior and Energy Relaxation Time Limit of the Solutions to an Energy Transport Model in Semiconductors, (with L. Hsiao and Y. Li), accepted by J. Math. Anal. and Appl, 2005.
Analysis of a multi-dimensional parabolic population model with strong cross-diffusion, (with A. Juengel), SIAM Math. Anal. V.36, No.1, (2004), 301-322. pdf file
Global Existence and Asymptotic Behavior to the Solutions of 1-D Lyumkis Energy Transport Model for Semiconductors, (with L. Hsiao and Y. Li) , Quaterly Appl. Math . V.62, No.2, (2004), 337-358. ps file
Strong Solution to a Kind of Cross Diffusion Parabolic System, (with L. Hsiao and Y. Li), Comm. Math. Sci. V.1, No.4, (2003), 799-808. pdf file
The Solution of Lyumkis Energy Transport Model in Semiconductor Science, (with L. Hsiao) Math. Method Appl. Sci. 26, (2003), 1421-1433. ps file
Energy Transport Model in Semiconductor Science, (with L. Hsiao), Acta Analysis functionalis applicata, V.5, No.1, (2003), 35-40.
Global Existence and Asymptotic Behavior to the solution of 1-D Energy Transport Model for Semiconductors, (with Y. Li) J. Partial Diff. Eqs. 15 (2002), 81-95. pdf file
Parabolic Monge-Ampere Equation and Related Problems
Generalized Solution of a Kind of Nonparametric Curvature Evolution with Boundary Condition, (with H. Liu), Accepted by Acta Mathematica Sinica, 2005.pdf file
Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation, (with G. Wang and S. Lian) J. Diff. Eqs. 186, (2002), 558-571. ps file
Parabolic Type Monge-Ampere Equation with Zero Initial Boundary Value, Kumamoto J. of Math. , V.16, (2003), 27-42. ps file
Some remarks on the regularity of viscosity solution to one type of parabolic Monge-Ampere equation,(with G. Wang) (in Chinese) Chinese Ann. Math A. V.24, No.1, (2003), 33-40. (English version: Chinese Journal of Contemporary Mathematics, V.24, No.1, 2003) ps file
Generalized solution of the first boundary value problem for parabolic Monge-Ampere equation, (with S. Lian and G. Wang) J. Partial Diff. Eqs. 14 (2001), 149-162. ps file
Remarks on a mathematical model from the theory of optimal investment, (with G. Wang and S. Lian) Northeast. Math. J. , 17 (2), (2001), 127-129. ps file
Existence and uniqueness of generalized solution to parabolic Monge-Ampere, (in Chinese) Acta Scientiarum Naturalium Universitatis Jilinensis , No. 4, (2000), 1-9.
Interior estimates for generalized solutions of the parabolic Monge-Ampere equation, Northeast. Math. J. , 16 (4), (2000), 387-390.
Some remarks on one type of parabolic Monge-Ampere equation, (with G. Wang) Advances in Math.(China) 28. No. 4., (1999), 381-383.
Preprints
Mathematical Models in Applied Science
The zero-electron-mass limit in the hydrodynamic model for plasmas, (with G. Ali, A. Juengel and Y.-J. Peng), 2005.pdf file
Analysis of a Parabolic Cross-Diffusion Semiconductor Model with Electron-Hole Scattering, (with A. Juengel), 2005.pdf file
Study on a Cross Diffusion Parabolic System, (with L. Hsiao and G. Warnecke), pdf file
Mixed boundary value problem of stationary energy transport model, (with L. Hsiao), ps file
Parabolic Monge-Ampere Equation and Related ProblemsInterior Regularity to the Generalized Solution of Parabolic Monge-Ampere Equation, (2002). ps file
17/11/2002-22/11/2002, Visitor of Professor A. Juengel, Institute of Mathematics, Mainz University, Mainz, Germany.
01/11/2002-04/11/2002, Visitor of Professor P. Marckwich, Institute of Mathematics, Vienna University, Vienna, Austria.
24/09/2002--17/11/2002, Visitor of Professor G. Warnecke, Institute of Analysis and Numerics, Otto-von-Guericke-University Magdeburg, Germany.
27/11/2004--03/12/2004, Visitor of Professor Yue-Jun Peng, Universit/`e Blaise Pascal, Clermont, France.
22/02/2005--28/02/2005, Visitor of Professor A. Tesei, University of Rome ``La Sapienza'', Rome, Italy.
01/03/2005--04/03/2005, Visitor of Professor P. Macarti, University of L'Aquila, L'Aquila, Italy.
25/04/2005--30/04/2005, Visitor of Professor J.A. Carrillo, Universitat Autonoma de Barcelona, Spain.
25/05/2005--31/05/2005, Visitor of Professor M. Dreher, University of Konstanz, Germany.
Hobbies
Photography, Sports(volleyball,basketball,table-tennis...), Music...
Last update: Sep. 24, 2005.
