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 of Statistics 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. Complex-valued solutions to the mKdV equations in generalized Fourier-Lesbesgue spaces, joint with Z. Chen and Z. Guo, Proceedings of the American Mathematical Society, 153(4), 1621-1640, 2025.

2. On the stabilizing effect of rotation in the 3d Euler equations, joint with Y. Guo, B.Pausaderand K. Widmayer, Communications on Pure and Applied Mathematics,76:3553–3641,2023.

3. 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.

4. 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.

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

6. 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).

7. 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 , 1345–1366. (2016).

8. 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).

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

10. 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.

11. 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.

12. 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.

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

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

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

16. 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