Chunyan Huang

Professor

Address: 39 South College Road, Central University of Finance and Economics, Haidian District, Beijing, 100081, P. R. China

Email: hcy@cufe.edu.cn

Research Interest

Partial Differential Equations and applications

Education

2004.9-2008.7 Ph.D in Mathematics, Peking University, China

Employment and Visiting

2011.10-present School ofStatistics and mathematics,Central University of Finance and Economics

2016.09-2017.09 Division of Applied Mathematics, Brown University, visitingscholar, USA

2009.1-2011.9 IGPM, RWTH Aachen,postdoc,Germany

2008.9-2008.12 NuHag, University of Vienna,visiting scholar,Austra

Teaching

1. Mathematical Analysis I, II

2. Advanced Mathematics

3. Partial Differential Equations

Selected Publications

1.Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations,joint with Z. Guo and L. Song,Journal of Differential Equations, 366, 71-84, 2023,(SCI)

2.Well-posedness of the modified dispersion-generalized Benjamin-Ono equations in modulation spaces,joint with Z. Guo,Journal of Mathematical Analysis and Applications,1-20,509(1),2022,(SCI)

3.Scattering for 3D quantum Zakharov system in L2, joint with B. Guo and Y. Heng, Communications in Mathematical Sciences,19(2), 2021, 383-404. (SCI)

4.The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space, joint with Z. Guo, Science China Mathematics, 60(11): 2155-2172(2017),(SCI)

5.On the global well-posedness of the fractional Klein-Gordon-Schroedinger system with rough initial data, joint with B. Guo, D. Huang and Q. Li, Science China Mathematics 59(2016) , 1345–1366. (SCI)

6.Efficient resolution of anisotropic structures, Extraction of Quantifiable Information from Complex Systems, joint with W. Dahmen, G. Kutyniok, W.-Q Lim, C, Schwab and G. Welper, Lecture Notes in Computational Science and Engineering, Springer, 25-51( 2014). (EI)

7.On the Analyticity for the generalized quadratic derivative complex Ginzburg-Landau equation(2014), Abstract and Applied Analysis, 1-11. (SCI)

8.Adaptive Petrov-Galerkin methods for first order transport equations, joint with W.Dahmen, C.Schwab and G.Welper, SIAM Journal on Numerical Analysis 50-5(2012),2420-2445. (SCI)

9.Trace operators for modulation, α-modulation and Besov spaces, joint with H.G.Feichtinger and B.Wang,Applied and Computational Harmonic Analysis30（2011）110-127. (SCI)

10.Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data"，joint with B.Wang and L.Han, Annales de l‘Institut Henri Poincaré (C) , Analyse Non Linéaire 26(2009) 2253-2281. (SCI)

11.Inviscid limit for the energy-critical complex Ginzburg–Landau equation,joint with B.Wang, J. Functional Analysis, 255 ( 2008), 681-725. (SCI)

12.Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations, joint with B.Wang, J. Differential Equations 239 (2007), 213-250. (SCI)

13.Energy for type-II superconductors placed in a non-uniform magnetic field,jointwithZ.Liu, Acta Mathematica Sinica (In Chinese) 49 (2006), 763-774.

14. A note on the scattering for quantum Zakharov system with non-radial data, Matrix Annals, 551-564, 2021.

Project

1.National Science Foundation of China (2020.01-2023.12)

2. National Science Foundation of China (2013.01-2015.12)

3. DFG Priority program 1324: Adaptive Anisotropic Discretization Concepts 2009-2013