CongmingLi (李从明)
Professor
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
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.