中科院研究员

概述

黄飞敏，1971年出生，湖南祁阳人，中国科学院数学与系统科学研究院研究员，所长助理。

1986年9月至1991年7月 华中理工大学少年班，数学系，获学士学位

1991年9月至1994年7月 中科院武汉数学物理所，获硕士学位

1994年9月至1997年7月 中科院应用数学所, 获博士学位

1997年7月至1999年1月 中科院应用数学所，任助理研究员

1999年1月至2003年4月 中科院数学与系统科学研究院，任助理研究员

2003年4月至今 中科院数学与系统科学研究院，任研究员、博士生导师

现任中国科学院数学与系统科学研究院应用数学研究所所长助理

主要学术访问

· 1999.2--1999.4 香港城市大学，访问学者

· 1999.11-2000.11 意大利S.I.S.S.A，博士后

· 2001.3--2003.3 日本大阪大学，JSPS博士后

· 2003.9--2003.10 日本大阪大学，访问学者

· 2003.11-2003.12 香港中文大学，访问教授

· 2005.2-2005.5 美国纽约大学Courant所，访问学者

· 2009.3-2009.4 香港中文大学，访问教授

社会兼职

《数学物理学报》中英文版常务编委、《应用数学学报》中英文版常务编委

研究方向

主要研究双曲守恒律方程组和粘性守恒律方程组，已取得的成果有:

解决了等温气体动力学方程组（即绝热指数\\gamma=1）带真空的Cauchy问题弱解的整体存在性这一长期未解决的数学难题。该工作获2004年度美国工业与应用数学会杰出论文奖

对零压流提出了新的熵条件，即能量熵条件，并在此基础上证明了零压流弱解的唯一性。

很多数学家猜测当时间充分大时，带阻尼项的可压缩Euler方程的解趋近于Porous Media方程的自相似解。我们在一般初值条件意义下，即初值可以任意大且含真空，证明了上述猜测

证明了可压缩Navier-Stokes方程接触间断波的稳定性，完善了粘性双曲守恒律基本波的稳定性理论，该工作于2008年发表在国际一流刊物Adv.Math.上

获得的主要奖励

2003年获首届中国科学院数学与系统科学研究院“突出科研成果奖”

2004年获美国工业及应用数学协会“杰出论文奖”(The SIAM Outstanding Paper Prize), 该奖旨在奖励原创性论文。每次在前三年SIAM系列杂志发表的论文中选出三篇论文授予杰出论文奖

2007年获得中国科学院数学与系统科学研究院优秀教师奖

2008年获国家杰出青年科学基金

在研项目

国家杰出青年科学基金，名称：非线性双曲守恒律，负责人：黄飞敏，项目编号：10825102，期限：2009.1.1-2012.12.31

国家基金委和中物院的联合基金面上项目，名称：辐射流体力学方程的适定性研究和定性分析，负责人：黄飞敏，项目编号：10676037，期限：2007.1.1-2009.12.31

作为主要成员参加了由马志明院士主持的科技部973项目, 名称为《数学与其它领域交叉的若干专题》, 2006-2010年。

作为子课题组长参与了由曹道民研究员主持的中科院知识创新项目《数学物理中的若干重大问题》, 子课题项目名称为《一些重要的数学物理方程》, 2006-2009年

参加主持过的科研项目

国家自然科学基金面上项目，非线性双曲守恒律及相关问题的研究，负责人：黄飞敏，项目编号：10471138，期限：2004.01.01-2006.12.31

论文论著

1. Feimin Huang and Akitaka Matsumura，Stability of a Composite Wave of Two Viscous ShockWaves for the Full Compressible Navier-Stokes Equations. Comm. Math. Phys., Accepted.

2. Feimin Huang, Jing Li and Xiaoding Shi， Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Comm. Math. Sci., Accepted.

3. Feimin Huang and Yeping Li,Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum. Discrete Contin. Dyn.Syst., 2009, In press.

4. Feimin Huang and Xiaohong Qin,Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation. J. Diff. Equa., 2009, In press.

5. Jinmyong Ri and Feimin Huang, Vacuum solution and quasineutral limit of semiconductor drift-diffusion equation. J. Diff. Equa., 246(4), 2009,1523-1538.

6. Feimin Huang, Zhouping Xin and Tong Yang, Contact discontinuity with general perturbations for gas motions. Adv. Math., 219(4), 2008, 1246--1297.

7. Feimin Huang, Ronghua Pan and Huimin Yu, Large time behavior of Euler-Poisson system for semiconductor. Sci. China Ser. A, 51(5), 2008,965--972.

8. Feimin Huang, Ronghua Pan and Yi Wang, Stability of contact discontinuity for Jin-Xin relaxation system. J. Diff. Equa., 244(5), 2008, 1114--1140.

9. Feimin Huang and Yi Wang, Large time behavior of the solutions to the Boltzmann equation with specular reflective boundary condition. J. Diff. Equa., 240(2), 2007, 399--429.

10. Feimin Huang, Jing Li and Zhouping Xin, Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data. J. Math. Pures Appl. (9), 86(6), 2006, 471--491.

11. Feimin Huang and Tong Yang, Stability of contact discontinuity for the Boltzmann equation. J. Diff. Equa., 229, 2006, 698-742.

12. Feimin Huang, Hailiang Li and Akitaka Matsumura, Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors. J. Diff. Equa., 225(1), 2006, 1-25.

13. Feimin Huang and Ronghua Pan, Asmptotic behavior of the solutions to the damped compressible Euler equations with vacuum. J. Diff. Equa., 220, 2006, 207-233.

14. Feimin Huang, Akitaka Matsumura and Zhouping Xin, Stability of Contact Discontinuities for the 1-D Compressible Navier-Stokes Equations. Arch. Rat. Mech. Anal., 179, 2005, 55-77.

15. Feimin Huang, P. Marcati and Ronghua Pan, Convergence to Barenblatt solution for the compressible Euler equations with damping and vacuum. Arch. Rat. Mech. Anal., 176(1), 2005, 1-24.

16. Feimin Huang, Weak solution to pressureless type system. Comm. Part. Diff. Equs., 30, 2005, 283-304.

17. F.Huang, A.Matsumura and X.Shi, Viscous shock wave to a gas-solid free boundary problem for compressible gas, SIAM J. Math. Anal., Vol.36, No.2, (2004), 498-522.

18. Y.Ding and F.Huang, on a nonhomogeneous pressureless system, Quart. Appl. Math., 62 (2004), No.3, 509-528.

19. F.Huang, A.Matsumura and X.Shi, On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary, Osaka J. Math., Vol.41, No.1,2004, 193-210.

20. F.Huang, A. Matsumura and X. Shi, Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas, Comm. Math. Phys., 239(2003),261-285.

21. F. Huang, A.Matsumura and X.Shi, A gas-solid free boundary problem for a compressible viscous gas, SIAM J. Math. Anal., 34,(2003),6,1330-1354.

22. F. Huang and R.Pan, Convergence rate for compressible Euler equations with damping and vacuum, Arch. Rat. Mech. Anal.,166,(2003),4,359-376.

23. F.Huang and H.Zhao, On the global stability of contact discontinuity for compressible Navier-Stokes equations, Rend. Sem. Mat. Univ. Padova, Vol.109, 2003,283-305.

24. F. Huang and Z.Wang, Convergence of viscosity solutions for isothermal gas dynamics, SIAM J. Math. Anal.,34,(2002),3,595-610.

25. F.Huang and Z.Wang, Well posedness for pressureless flow, Comm. Math. Phys. 222 (2001),1, 117--146.

26. F.Huang, A.Matsumura and X.Shi, Asymptotics toward the viscous shock wave to an inflow problem in the half space for compressible viscous gas. Mathematical analysis in fluid and gas dynamics (Japanese) (Kyoto, 2001).

RIMS kokyuroku No.1247 (2002), 177--186.

27. F.Huang, Large time behavior for compressible Euler equations with damping and vacuum. Mathematical analysis in fluid and gas dynamics (Japanese) (Kyoto, 2001). RIMS kokyuroku No.1247 (2002), 57--66.

28. F.Huang and Z.Wang, Uniqueness on zero pressure gas dynamics. Acta Math.Sci.Ser.B Engl.Ed. 21 (2001), No.2, 145--151.

29. F.Huang and Z. Wang, Convergence of approximate solutions for isothermal flow. (Chinese) Acta Math. Sci. Ser. A Chin. Ed 21 (2001), no. 4, 570--576.

30. F.Huang, On the two-dimensional Cauchy problem of a hyperbolic system. Acta Math.Sinica (N.S.) 14 (1998), no. 3, 399--410.

31. F.Huang, Existence and uniqueness of discontinuous solutions for a class of nonstrictly hyperbolic systems. Advances in nonlinear partial differential equations and related areas (Beijing, 1997), 187--208, World Sci. Publishing,

River Edge, NJ, 1998.

32. X.Yang and F.Huang, Two-dimensional Riemann problems of simplified Euler equation. Chinese Sci.Bull.43 (1998), No.6, 441--444.

33. F.Huang and X.Yang, The two-dimensional Riemann problem for a class of systems of hyperbolic conservation law equations. (Chinese) Acta Math. Appl. Sinica 21 (1998), no. 2,193--205.

34. F.Huang, Existence and uniqueness of discontinuous solutions for a hyperbolic system. Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), no. 6,1193--1205.

35. Z.Wang, F.Huang and X.Ding, On the Cauchy problem of transportation equations. Acta Math. Appl. Sinica (English Ser.) 13 (1997), no.2,113--122.

36. F.Huang, Existence of two solutions of nonlinear elliptic equations with critical Sobolev exponents and mixed boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 1,47--75.

37. F.Huang, C and Z.Wang, Solutions containing delta-waves of Cauchy problems for a nonstrictly hyperbolic system. Acta Math. Appl. Sinica (English Ser.) 11 (1995), no. 4,429--446.