基础数学和应用数学教研室， 博士生导师
联系方式：010-
电子邮箱：chen_qionglei@iapcm.ac.cn
基础数学和应用数学
1995.09-1999.07 浙江大学数学系 学士
1999.09-2004.07 浙江大学数学系 博士
2004.08-2006.08 北京应用物理与计算数学研究所 博士后
2006.08-2007.10 北京应用物理与计算数学研究所 助理研究员
2007.10-2013.10 北京应用物理与计算数学研究所 副研究员
2013.10-至今 北京应用物理与计算数学研究所 研究员
1.研究可压与不可压流体动力学方程解的整体适定性及光滑解的爆破机制。这些问题是现代数学物理研究中的重要的难题。我们拟从两个方面来着手研究：其一，通过研究Leray-Hopf-弱解的正则性，建立不可压流体动力学方程的强解的整体存在；其二， 通过研究光滑解的爆破准则，达到将局部光滑解扩张成整体解的目的。主要方法是Fourier频率局部化技术、连续模方法、De Giorgi-Nash-Moser估计、Besov空间的Paley-Littlewood刻画、抛物型奇异积分算子,抽象插值方法、调和扩张等现代分析工具。
2.研究可压与不压流体动力学方程解的整体适定性及光滑解的适定性、爆破机制等相关数学理论。这些问题是现代数学物理研究中的重要的难题。我们拟从两个方面来着手研究：其一，通过研究Leray-Hopf弱解的正则性，建立不可压流体动力学方程的强解的整体存在；其二， 通过研究光滑解的爆破准则，达到将局部光滑解扩张成整体解的目的。主要方法是Fourier频率局部化技术、连续模方法、De Giorgi-Nash-Moser估计、Besov空间的Paley-Littlewood刻画,抛物型奇异积分算子,抽象插值方法等现代分析的工具。
中物院科技创新奖一等奖
1.Qionglei Chen, Changxing Miao, Xiaoxin Zheng, The bi-dimensional Euler equations in Yudovich type space and bmo-type space, accepted by Revista Matemtica Iberoamericana.
2.Qionglei Chen, Huan Yu, On the inviscid limit of the 2D Magnetohydrodynamic system with vorticity in Yudovich-type space, accepted by Dynamics of PDEs.
3.Qionglei Chen, Changxing Miao, The Global Well-posedness for the 2D Leray- MHD Equations with Zero Magnetic Diffusivity, Acta Mathematica Sinica, English Series, 2016, 32(10): 1145-1148
4.Qionglei Chen, Changxing Miao, On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces, Revista Matemtica Iberoamericana, 2015, 31: 1375-1402.
5.Qionglei Chen, Liya Jiang, GLOBAL WELL-POSEDNESS FOR THE 2-D BOUSSINESQ SYSTEM WITH TEMPERATURE-DEPENDENT THERMAL DIFFUSIVITY, Colloquium Mathematicum, 2014, 135(2): 187-199.
6.Qionglei Chen, Changxing Miao, Zhifei Zhang, Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data, Pacific Journal of Mathematics, 2013, 262(2): 263-283.
7.Qionglei Chen, Changxing Miao, Global well-posedness for the micropolar fluid system in critical Besov spaces, Journal of Differential Equations, 2012, 252: 2698-2724.
8.Qionglei Chen, Changxing Miao, Zhifei Zhang, Global Well-Posedness for Compressible Navier-Stokes Equations with Highly Oscillating Initial Velocity, Communications on Pure and Applied Mathematics, 2010, 63(9): 1173-1224.
9.Qionglei Chen, Changxing Miao, Zhifei Zhang, On the Well-posedness of the Ideal MHD Equations in the Triebel-Lizorkin Spaces, Archive for Rational Mechanics and Analysis, 2010, 195: 561-578.
10.Qionglei Chen, Changxing Miao, Zhifei Zhang, Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities, Revista Matematica Iberoamericana, 2010, 26(3): 915-946.
11.Qionglei Chen, Changxing Miao, Zhifei Zhang, On the uniqueness of weak solutions for the 3D Navier-Stokes equations, Annales de l Institut Henri Poincare-Analyse Non Lineaire, 2009, 26(6): 2165-2180.
12.Qionglei Chen, Changxing Miao, Zhifei Zhang, On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations, Communications in Mathematical Physics, 2008, 284(3): 919-930.
13.Qionglei Chen, Changxing Miao, Zhifei Zhang, ON THE WELL-POSEDNESS FOR THE VISCOUS SHALLOW WATER EQUATIONS, SIAM Journal on Mathematical Analysis, 2008, 40(2): 443-474.
14.Qionglei Chen, Changxing Miao, Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces, Nonlinear Analysis-Theory Methods & Applications, 2008, 68(7): 1928-1939.
15.Qionglei Chen, Changxing Miao, Zhifei Zhang, The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations, Communications in Mathematical Physics, 2007, 275(3): 861-872.
16.Qionglei Chen, Changxing Miao, Zhifei Zhang, A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation, Communications in Mathematical Physics, 2007, 271(3): 821-838.
17.Qionglei Chen, Changxing Miao, Existence theorem and blow-up criterion of the strong solutions to the two-fluid MHD equation in $R^3$, Journal of Differential Equations, 2007, 239(1): 251-271.
18.Qionglei Chen, Zhifei Zhang, Global well-posedness of the 2D critical dissipative quasi-geostrophic equation in the Triebel-Lizorkin spaces, Nonlinear Analysis-Theory Methods & Applications, 2007, 67(6): 1715-1725.
19.Qionglei Chen, Zhifei Zhang, Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations, Journal of Mathematical Analysis and Applications, 2007, 331(2): 1384-1395.
20.Qionglei Chen, Zhifei Zhang, Regularity criterion via the pressure on weak solutions to the 3D Navier-Stokes equations, Proceedings of the American Mathematical Society, 2007, 135(6): 1829-1837.
21.Cannone Marco, Chen Qionglei, Miao Changxing, A losing estimate for the ideal MHD equations with application to blow-up criterion, SIAM Journal on Mathematical Analysis, 2006, 38(6): 1847-1859.