CongmingLi (李从明) - 上海交通大学

个人简介

1985 -1989 Courant Institute, New York University, New YorkPh.D. in Mathematics, Thesis Adviser: Louis Nirenberg 1982 -1984Institute of System Sciences, CAS, Beijing, M.S. in Mathematics, Thesis Adviser: Xiaqi Ding 1978 -1982 University of Science and Technology of China, Hefei B.S. in Mathematics

研究领域

Nonlinear Partial Differential Equations, Calculus of variations, Geometric Analysis, Nonlinear Analysis，Dynamics of Fluid

近期论文

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Y. Lei, C. Li, C. Ma: Asymptotic radial symmetry and growth estimates of positive solutions to the weighted HLS system, Calc. Var. Partial Differential Equations, accepted. J. Bebernes, Y. Lei, C. Li, A singularity analysis of positive solutions to an Euler-Lagrange integral system, Rocky Mountain J. of Mathematics, accepted. Y. Lei, C. Li, C. Ma, Decay estimation for positive solution of a γ-Laplace equation, Disc. & Cont. Dynamics Systems, 30(2011), 547-558. C. Ma, W. Chen, C. Li, Regularity of Solutions for an Integral System of Wolff Type, Adv. Math., 226(2011), 2676-2699. T. Y. Hou, C. Li, Z. Shi, S. Wang, X. Yu, On singularity formation of a one-dimensional model for incompressible flows, Arch. Rational Mech. Anal. 199 (2011) 117–144 W. Chen, C. Li, Methods on nonlinear elliptic equations. AIMS Book Series on Differentia Equations. & Dynamics. Systems, 4 (2010). (This is a book) W. Chen, C. Li, On the stationary solutions of the 2-D Doi-Onsager Model, Nonlinear Analysis, 73(2010), 2410-2425. W. Chen, C. Li, Classification of positive solutions for nonlinear differential and integral systems with critical exponents, Acta Math. Scientia, #4, 29(2009), 949-960. W. Chen, C. Li, B. Ou, Positive regular solutions to a singular integral equation, Int’l. J. of Pure and Applied Math., 52(2009), 583-602. W. Chen, C. Li, An integral system and the Lane-Emden conjecture, Disc. & Cont. Dynamics Sys. #4, 24(2009), 1167-1184. W. Chen, C. Li, A sup + inf inequality near $R = 0$, Adv. Math., 220(2009), 219-245. C. Li, L. Ma, Uniqueness of positive bound states to Shrodinger systems with critical exponents, SIAM J. Math. Analysis， #3, 40(2008), 1049-1057. T. Hou, Z. Lei, C. Li, Global regularity of the 3D axi-symmetric Navier-Stokes equations with anisotropic data, Comm. in Partial Differential Equations, 33(2008), 1622-1637. W. Chen, C. Li, The Best constant in some weighted Hardy-Littlewood-Sobolev inequality, Proc. Amer. Math. Soc., 136 (2008), 955-962. W. Chen, C. Li, A priori estimates for the Nirenberg problem, Disc. & Cont. Dynamics Sys. S, 2(136), 2008, 225-233. T. Hou, C. Li, “Dynamic stability of the 3D axi-symmetric Navier-Stokes equations with swirl”, Comm. Pure Appl. Math., 61 (2008), no. 5, 661--697. C. Jin, X. Cai, C. Li, Parallel domain decomposition methods for some stochastic partial differential equations, SIAM J. of Sci. Comp., 2 (2007), 2096-2114. C. Li, J. Lim, The singularity analysis of solutions to some systems of integral equations, Comm. Pure & Appl. Anal., 6(2), 2007, 453-464. T. Y. Hou, C. Li, “On global well-posedness of the Lagrangian averaged Euler equations”, SIAM J. Math. Analysis, 38(3), 2006, 782-794. C. Jin, C. Li, Qualitative analysis of some systems of integral equations, Calc. Var. Partial Differential Equations, 26(2006), 447-457. W. Chen, C. Li, and B. Ou, "Classification of solutions for an integral equation", Comm. Pure Appl. Math., #3, 59(2006), 330-343. C. Jin, C. Li, Symmetry of solutions to some systems of integral equations, Proc. Amer. Math. Soc., 134(2005), 1661-1670. H. Segur, D. Henderson, J. Carter, J. Hammack, C. Li, D. Pheiff, K. Socha, Stabilizing the Benjamin-Feir instability, J. Fluid Mech., 539(2005) 229-271. W. Chen, C. Jin, C. Li, Jisun Lim, Weighted Hardy-Littlewood-Sobolev inequalities and systems of integral equations. Disc. & Cont. Dynamics Sys. Supplement Volume (2005) 164-173. W. Chen, C. Li, and E. Wright, On a nonlinear parabolic system modeling chemical reactions in rivers, Comm. Pure & Appl. Anal., 4(2005) 889-899. W. Chen, C. Li, and B. Ou, “Classification of Solutions for a System of Integral Equations”, Comm. in Partial Differential Equations, 30(2005) 59-65. W. Chen, C. Li, Regularity of solutions for a system of integral equations, Comm. Pure & Appl. Anal., 4(2005), 1-8. T. Y. Hou, C. Li, Global well-posedness of the viscous Boussinesq equations, Disc. & Cont. Dynamics Sys, 12(2005), 1-12. W. Chen, C. Li, and B. Ou, Qualitative properties of solutions for an integral equation, Disc. & Cont. Dynamics Sys. 12(2005) 347-354. W. Chen, C. Li, Moving planes, moving spheres, and a priori estimates, J. of Diff. Equations, 195(2003), 1-13. W. Chen, C. Li, Gaussian curvature in negative case, Proc. Amer. Math. Soc., 131(2003) 741-744 C. Li, E. Wright, Global existence of solutions to reaction diffusion system based upon carbonate reaction kinetics, Comm. Pure & Appl. Anal., 1(2002) 77-84 W. Chen, C. Li, Prescribing scalar curvature on S^n, Pac. J. Math., 199(2001) 61-78. C. Li, E. Wright, Modeling chemical reactions in rivers: a three component reaction, Disc. & Cont. Dynamics Sys. 7(2001) 377-384. W. Chen, C. Li, Harmonic maps on complete manifolds, Disc. & Cont. Dynamics Sys., 5(1999) 799-804. J. Bebernes, C. Li, P. Talaga, Single-point blowup for non-local parabolic problems, Physical D, 134(1999) 48-60. W. Chen, C. Li, Some new approaches in prescribing Gaussian and scalar curvatures, Disc. & Cont. Dynamics Sys. Supplement Volume, 1998, 148-159. W. Chen, C. Li, Indefinite elliptic problems with critical exponent, Advances in Nonlinear PDE and related Areas, World Scientific, 1998, 67-80. W. Chen, C. Li, A priori estimates for prescribing scalar curvature equations, Ann. of Math., 145(1997) 547-564. J. Bebernes, C. Li, Y. Li, Traveling fronts in cylinders and their stability, Rocky Mountain J. Math., 27(1997) 123-150. W. Chen, C. Li, Indefinite elliptic problems in a domain, Disc. & Cont. Dynamics Sys, 3(1997) 333-340. C. Li, Local asymptotic symmetry of singular solutions to nonlinear elliptic equations, Invent. Math, 123(1996) 221-231. W. Chen, C. Li, A necessary and sufficient condition for the Nirenberg problem, Comm. Pure Appl. Math., 48(1995) 657-667. W. Chen, C. Li, What kinds of singular surfaces can admit constant curvature, Duke Math. J., 78(1995) 437-451. W. Chen, C. Li, A note on the Kazdan-Warner type conditions, J. Diff. Geom., 41(1995) 259-268. W. Chen, C. Li, Qualitative properties of solutions to some nonlinear elliptic equations in R 2, Duke Math. J., 71(1993) 427-439. W. Chen, C. Li, Gaussian curvature on singular surfaces, J. Geom. Anal., 3(1993) 315-334. C. Li, Y. Li, Nonautonomous nonlinear scalar field equations in R 2 , J. Differential Equations, 103(1993) 421-430. W. Chen, C. Li, A priori estimates for solutions to some nonlinear elliptic equations in R 2 , Arch. Rational Mech. Anal., 122(1993) 145-157. W. Chen, C. Li, Prescribing Gaussian curvatures on surfaces with conical singularities, J. Geom. Anal., 1(1991) 359-372. W. Chen, C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J., 63(1991) 615-622 C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on bounded domains, Comm. in Partial Differential Equations, 16(2&3)(1991) 491-529. C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains, Comm. in Partial Differential Equations, 16(4&5)(1991) 585-615. A. Greenbaum, Z. Han, C. Li, Comparison of linear system solvers applied to diffusion-type finite element equations, Numer. Math., 56(1989) 529-546. A. Greenbaum, Z. Han, C. Li, Parallelizing preconditioned conjugate gradient algorithms, Comput. Phys. Comm., 53(1989) 295-309. C. Li, Global properties of the solutions of nonlinear Schrodinger equations on a bounded domain, J. System Sci. Math. Sci., 4(1984) 160-164.