姓名:黄代文
导师职称:研究员
电子邮箱:huang_daiwen@iapcm.ac.cn
招生专业:应用数学
研究方向:偏微分方程、无穷维动力系统
一、教育经历
1997,9至2001,7,福建师范大学,数学教育,本科/理学学士
2001,9至2004,7 福建师范大学 基础数学 研究生/理学硕士
2004,9至2007,7 中物院研究生部 应用数学研究生/理学博士
二、工作经历
2007年07月至2010年10月,北京应用物理与计算数学研究所,助理研究员
2010年11月至2016年10月,北京应用物理与计算数学研究所,副研究员
2016年11月至今,北京应用物理与计算数学研究所,研究员
三、研究方向及简介
研究方向:非线性偏微分方程、随机偏微分方程、无穷维动力系统和非线性泛函分析。主要研究大气、海洋动力学中一些重要的非线性偏微分方程(组)及其无穷维动力系统,量子力学和等离子体物理中一些偏微分方程组的数学理论(适定性和稳定性等)。
四、个人荣誉、所获奖项
由于在大气海洋动力学中偏微分方程和分数阶Schrodinger方程的数学理论方面工作,2017年获中国工程物理研究院科技创新奖二等奖,2014年、2019年两次获教育部自然科学二等奖
五、代表性论文及成果
1. R. Wang, B. Guo and D. Huang, Necessary and Sufficient Criteria for Existence, Regularity and Asymptotic Stability of Enhanced Pullback Attractors with Applications to 3D Primitive Equations, Math. Models Methods Appl. Sci.,Vol.33 (10):1975-2034, 2023
2. Z. Qiu, H. Wang and D. Huang, Invariant measure for 2D stochastic Cahn-Hilliard-Navier-Stokes equation, Stochastics and Dynamics, 23(3): 2350030, 2023.
3. B. Guo, D. Huang and B. Zhao, Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation, Journal of Differential Equations,371 (2023) 549–597.
4. B. Zhao, D. Huang and B. Guo, Blow-up criterion of solutions of the horizontal viscous primitive equations with horizontal eddy diffusivity, Applied Mathematics Letters,145 (2023) 108743.
5. R. Wang, B. Guo and D. Huang, Theoretica results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations, Acta Math. Sci., Vol.43 (6): 1-26, 2023.
6. Y. Mi and D. Huang, Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions,Monatshefte für Mathematik, Vol. 200: 1-34, 2022.
7. J. Gao, D. Huang and Z. Yao, Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics, Cal. Var. Part. Diff. Equ., Vol. 60, 67 (2021), 61 pages.
8. Y. Mi and D. Huang, Well-posedness and continuity properties of the new shallow-water model with cubic nonlinearity,Annali di Matematica Pura ed Applica,Vol. 200: 1-34, 2021.
9. Y. Mi, Y. Liu, D. Huang and B. Guo, Qualitative analysis for the new shallow-water model with cubic nonlinearity,J. Diff. Equ., 269: 5228-5279, 2020.
10. Y. Mi and D. Huang, On the Cauchy problem of a new integrable two-component Novikov equation,Monatshefte für Mathematik,193: 261-381, 2020.
11. D. Huang, T. Shen and Y. Zheng, Ergodicity of two-dimensional primitive equations of large scale ocean in geophysics driven by degenerate noise, Appl. Math. Lett., 2020,102.
12. B. Guo, D. Huang and J. Zhang, Decay of solutions to a two-layer quasi-geostrophic model, Anal. Appl., 15(4): 595, 2017.
13. B. Guo, H. Han, D. Huang, D. Bian and L. Zhang, Global smooth solution of a 2D singular system of DEs arising from geophysics, J. Diff. Equ., 262(7): 3980-4020, 2017.
14. B. Guo, D. Huang and W. Wang, Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force, J. Diff. Equ., 259: 2388-2407, 2015.
15. B. Guo and D. Huang, Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Science, World Scientific Publishing Company, 2014,328 pages.
16. Z. Gan, B. Guo and D. Huang,Blow-up and nonlinear instability for the magnetic Zakharov system,J. Func. Anal.,265,953-982, 2013.
17. H. Lu, S. Lü, J. Xin, and D. Huang, A random attractor for the stochastic quasi-geostrophic dynamical system on unbounded domains, Nonl. Anal. TMA, 90: 96-112, 2013.
18. B. Guo and D. Huang, Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere, J. Diff. Equ., 251(3): 457-491, 2011.
19. B. Guo and D. Huang, On the primitive equations of large-scale ocean with stochastic boundary, Diff. Int. Equ., 23: 373-398, 2010.
20. B. Guo and D. Huang, 3D Stochastic Primitive Equations of the Large-Scale Ocean: Global Well-Posedness and Attractors, Comm. Math. Phys., 286 (2): 697- 723, 2009.
21. D. Huang and B. Guo, Existence of global attractors for the 3-D viscous primitive equations of the large-scale dry atmosphere, Science in China Series D: Earth Science, Vol. 51(3): 469-480, 2008.
22. J. Xin, B. Guo, Y. Han and D. Huang, The global solution of the (2+1)-dimensional long wave-short wave resonance interaction equation, J. Math. Phys., Vol. 49: 073504, 2008.
23. B. Guo and D. Huang, Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics, J. Math. Phys., Vol. 47: 083508, 2006.
24. B. Guo and D. Huang, Existence of solitary waves for a simplified two system of equations in plasma, J. Math. Phys., Vol. 46: 073514, 2005.
25. D. Huang and Y. Li, Multiplicity of solutions for a noncooperative p-Laplacian elliptic system in R^N, J. Diff. Equ., 215: 206 – 223, 2005.