苗长兴,1963年出生,
北京应用物理与计算数学研究所研究员。
个人简介
苗长兴, 曾荣获国家杰出青年基金、于敏数理科学奖与
中国工程物理研究院杰出专家,是我国自己培养的在国际
偏微分方程领域有影响的杰出数学家。目前是Math.Meth.Appl.Sci.及Abstract Appl.Anal.两个国际数学杂志(SCI)的编委。在国内率先开展偏微分方程的调和分析方法研究,在国际一流的学术刊物(如:CPAM、CMP、ARMA、JFA、JMPA、SIAM、AIHP、CPDE、PLMS等)上发表论文数十篇, 主要贡献集中表现在调和分析、非线性色散方程的散射理论与流体动力学方程的数学理论等研究领域,解决了若干个具有国际影响的数学问题,得到了著名数学家Kenig、 Constantin等国际同行的高度评价。先后出版了《
调和分析及其在偏微分方程中的应用》、 《
偏微分方程的调和分析方法》、 《
非线性波动方程的现代方法》等四部专著, 对国内这一核心数学领域的研究与发展起到了基础性的作用. 与此同时, 所领导的科研团队是国际
偏微分方程研究领域最具活力与影响力的团队之一。
培养了一批年轻有为的数学才俊,特别是博士生
张晓轶(获2010年美国
斯隆研究奖、美国
普林斯顿高等研究院的Neumann followship)在质量临界的Schrodinger方程、博士后陈琼蕾在
流体动力学方程等方面均取得了出色的研究成果。
参选院士
苗长兴是2023年中国科学院数学物理部院士增选有效候选人,江松提名
人才培养
每三年开设两次基础课程,常年开设专业课,每周定期组织专业学术研讨班,每年邀请数位国际知名专家学者学术访问,开阔学生视野,紧跟国际学术前沿,注重培养学生提出疑问、思考问题、解决问题的能力。
根据每位研究生的研究方向,指定学术团队中年轻教师或高年级学生常年定向帮扶低年级的学生,形成优良的学术氛围,使研究生的学习及研究达到长久稳态的良性循环。
出版图书
发表论著
《调和分析及其在偏微分方程中的应用》,现代基础数学丛书,No.89, (第二版) 2004
《
偏微分方程的调和分析方法》现代基础数学丛书,No.117, 2008.
《
非线性波动方程的现代方法》、现代基础数学丛书,No.133, (第二版), 2008.
《现代调和分析及其应用讲义》,
高等教育出版社,2018.
《临界非线性色散方程》现代数学基础丛书, No.197,2023.
C. Miao, The dynamics of the 3D radial NLS with the combined terms, Comm. Math. Phys., 318:3(2013), 767-808, (with G. Xu and L. Zhao)
C. Miao, On the global well-posedness for the Boussinesq system with horizontal dissipation, Commun. Math. Phys. 321, 33–67 (2013), (2013), (with X. Zheng)
C. Miao, Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing, Proc. London Math. Society, 106 (2013) 650–674, (with M. Cannone and L. Xue),
C. Miao, Dispersive estimates with geometry of finite type, Comm. in Partial Differential Equations, 37(2012)729-776, (with W. Chen and X.Yao)(SCI)
C. Miao, Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ^{1+n}$, Communications in Partial Differential Equations, 36: 729–776, 2011 (with G.Xu and L.Zhao)
C. Miao, Global well-posedness for the compressible Navier-Stokes equations with the highly oscillating initial velocity, Comm. Pure Appl. Math. Vol. LXIII (2010) , 1173–1224 ( Q.Chen, C.Miao and Z.Zhang)
C. Miao, Well-posedness in critical spaces for the compressible Navier- Stokes equations with density dependent viscosities, Revista Matematica Iberoamericana 26 (2010) 915–946 ( Q.Chen, C.Miao and Z.Zhang)
C. Miao, On the well-posedness of the Ideal MHD equations in the Triebel-Lizorkin spaces Arch. Rational Mech.Anal. 195(2010) 561-578 ( Q.Chen, C.Miao and Z.Zhang)
C.Miao, Global well-posedness and scattering for the mass-critical Hartree equation with radial data , Journal de Mathématiques Pures et Appliquées, 91 (2009) 49-79, (G.Xu and L.Zhao)
C. Miao, Well-posedness for viscous shallow water equations in critical spaces, SIAM. J. Math. Anal. 40(2008) 443-474 (joint with Q.Chen and Z.Zhang),
C. Miao, On the regularity criterion of weak solution for the 3D viscous Magneto-- hydrodynamics equations, Comm. Math. Phys. 284(2008) 919-930, (with Q.Chen and Z.Zhang)
C. Miao, About convergence of solutions of fractal Burgers equation toward rarefaction waves. SIAM. J.Math.Anal. 39(2008)1536-1549(joint with G.Karch and X.Xu).
C. Miao, Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data, Journal of Functional Analysis 253 (2007) 605–627(G.Xu and L.Zhao)
C. Miao, The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations, Comm. Math. Phys. 275 (2007)861-872 (with Q.Chen and Z.Zhang)
C.Miao, A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation, Comm. Math. Phys. 271(2007) 821-838. (with Q.Chen and Z.Zhang)
C. Miao, A losing estimate for the Ideal MHD equations with application to Blow-up criterion, SIAM Math.Anal. 38(2007)1847-1859.(with M.Cannone and Q.Chen)
C. Miao, The defocusing energy-critical wave equation with a cubic convolution, Indiana
University Mathematics Journal , 63(2014)993-1015 (with J. Zhang and J. Zheng)
C. Miao, Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity, J. Math. Pures Appl. 101 (2014) 842–872,(with X. Zheng)