苗长兴

苗长兴，1963年7月出生于武陟县，中国共产党党员，博士，北京应用物理与计算数学研究所研究员，博士生导师，中国工程物理研究院专家，是中国自己培养的在国际偏微分方程领域有影响的数学家。其主要研究方向为现代傅里叶分析及其在几何测度论、数论中的应用；非线性色散方程的散射理论；流体动力学方程的数学理论。

1983年，苗长兴毕业于郑州大学。1994年，其获研究生部博士学位。1996年，他调入北京应用物理与计算数学研究所工作。2010年4月，其所著的书籍《非线性波动方程的现代方法》由科学出版社出版。2019年5月，苗长兴在河南科技大学开元校区作题为“调和分析以及在偏微分方程中的应用”的学术报告。2023年，苗长兴成为中国科学院数学物理部院士增选有效候选人。他先后应邀访问日本、英国、法国、美国、波兰、中国香港并进行合作研究，多次在国际学术会议作邀请报告。多次受邀在北京大学、中科院晨兴数学中心、北京国际数学中心等作傅里叶分析与偏微分方程的系列讲座。

苗长兴曾先后获得国家杰出青年基金、于敏数理科学奖、中国工程物理研究院杰出专家奖、中国工程物理研究院科技创新一等奖等奖项。他在中国率先开展偏微分方程的调和分析方法研究，在国际一流的数学刊物发表论文七十余篇，在科学出版社先后出版了《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》《Littlewood-Paley理论及其在流体动力学方程中的应用》等专著。担任国际刊物《Math.Meth.in Appl.Sci.》的编委，其团队被评价为“国际偏微分方程”领域最具活力与影响力的团队之一。此外，他还培养了博士生张晓轶、陈琼蕾等青年学者。

人物经历

早年经历

1963年7月，苗长兴出生于武陟县，1983年，苗长兴毕业于郑州大学。1994年，其获研究生部博士学位。

工作经历

1996年，苗长兴调入北京应用物理与计算数学研究所工作。2010年4月，其所著的书籍《非线性波动方程的现代方法》由科学出版社出版。2018年，他所编著的书籍《现代调和分析及其应用讲义》由高教社出版。2019年5月，苗长兴在河南科技大学开元校区作题为“调和分析以及在偏微分方程中的应用”的学术报告。2023年，苗长兴成为中国科学院数学物理部院士增选有效候选人，该候选资格由江松提名。2025年11月，在北京国际数学研究中心，由田刚院士倡议，由苗长兴牵头，以庞逸轩博士与韦东奕副教授为核心成员的研究团队深入研读王虹、Joshua Zahl关于三维Kakeya猜想证明的工作，完成并撰写了详细的验证报告，确认这一突破性工作的完整性与正确性。

苗长兴先后应邀访问日本、英国、法国、美国、波兰、中国香港并进行合作研究，多次在国际学术会议作邀请报告。在中国积极推动用现代傅里叶分析研究偏微分方程，多次受邀在北京大学、中科院晨兴数学中心、北京国际数学中心、香港中文大学、中国科技大学、南京大学、浙江大学等作调和分析与偏微分方程的系列讲座。

研究方向

苗长兴的研究方向为现代调和分析及其在几何测度论、 数论中的应用；非线性色散方程的散射理论；流体动力学方程的数学理论。

主要成就

苗长兴在中国率先开展偏微分方程的调和分析方法研究，在国际一流的数学刊CPAM、CMP、ARMA、JMPA、JFA、AIHP、PLMS、CPDE、SIAM、IUMJ、Revista Mate.Iber.等上发表论文七十余篇，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。在科学出版社先后出版了《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》《Littlewood- Paley理论及其在流体动力学方程中的应用》等专著，对中国核心数学领域的研究与发展起到了基础性的作用。

主要著作

主要论文

[1]  C.Miao, 前锋 self-similar solutions of the fractional Navier-Stokes Equations, Advances in 数学, 352(2019),981-1043.(with B.Lai and X.Zheng)

[2]  C. Miao, Sobolev space adapted to the Schrodinger operator with inverse-square potential , Math. Z. (2018) 288:1273-1298 (with R.Killip, M.Visan, J.Zhang and J.Zheng).

[3]  C.Miao, The 能量critical nonlinear wave 方程 with an inverse-square potential Ann. Inst. Henri Poincare-Nonlinear Analysis, 37 (2020) 417-456 (with J.Murpth, and J.Zheng)

[4]  C.Miao, The defocusing energy-supercritical NLS in four space dimensions, J.Functional Analysis, 267(2014), 1662-1724 (with J.murphy and J.Zheng)

[5]  C. Miao, Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity, J. Math. Pures APPL 101 (2014) 842–872(with X. Zheng)

[6]  C. Miao, On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces, Revista Matemtica Iberoamericana, 31(2015)1375-1402 (with Q.Chen and Z.Zhang).

[7]  C. Miao, Global well-posedness and scattering for the defocusing H1/2-subcritical Hartree eq- uation in Rd, Ann. Inst. Henri Poincare-Nonlinear Analysis, 26(2009)1831–1852.(with G. Xu and L. Zhao)

[8]  C. Miao, On the uniqueness of weak solutions for the 3D Navier-Stokes equations, Ann. Inst. Henri Poincare-Nonlinear Analysis, 26(2009)2165–2180. (with Q. Chen and Z. Zhang )

[9]  C.Miao, Bilinear Kakeya-Nikodym averages of eigen函数s on compact Riemannian surfaces, J. Functional. Analysis. 271(2016)2752-2775 (with C.Sogge, Y.Xi and J.Yang)

[10]  C. Miao, The defocusing quintic NLS in four space dimensions, Ann. Inst. Henri Poincare-Nonlinear Analysis, 34 (2017) 759–787 (B.Dodson, J.Murpth, and J.Zheng)

[11]  C. Miao, The defocusing 能量critical wave equation with a cubic convolution, Indiana University 数学 Journal , 63(2014)993-1015 (with J. Zhang and J. Zheng)

[12] C. Miao, Global well-posedness and scattering for the 能量critical, defocusing Hartree 方程 in R1+n, Comm. PDEs, 36(2011)729 - 776, (with G. Xu and L. Zhao)

[13] 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),

[14]  C. Miao, Dispersive estimates with geometry of finite type, Comm. PDEs, 37(2012), 729 - 776, (with W. Chen and X. Yao)

[15]  C. Miao, Well-posedness for viscous shallow H₂O equations in critical spaces, SIAM. J. Math. Anal., 40(2008), 443 - 474, (with Q. Chen and Z. Zhang)

[16]  C. Miao, A losing estimate for the ideal MHD equations with application to Blow-up criterion, SIAM J. 数学. Anal., 38 (2007), 1847-859, (with M. Cannone and Q. Chen)

[17]  C. Miao, About convergence of solutions of fractal Burgers equation toward rarefaction waves. SIAM. J. Math. Anal., 39(2008), 1536 - 1549, (with G. Karch and X. Xu).

[18]  C.Miao, The 2D incompressible Boussinesq equations with general critical dissipation， SIAM J.Math.Anal，46(2014) 3426 –3454.(with Q.Jiu, J.wu and Z.Zhang)

[19]  C.Miao, Stability of the traveling waves for the derivative Schrödinger equation in the 能量 space, Calculus of Variations and PDEs , 56:45(2017), Doi: 10.1007/s00526-017-1128-6 (with X.Tang and G.Xu)

[20]  C.Miao, Strichartz estimates for wave equation with inverse square potential, Contemp. Math., Vol. 15, No. 6 (2013) 1350026 (29 pages) (with J. Zhang and J.Zheng).

[21] C. Miao, On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation, Contemp. Math., Vol. 16, No. 2 (2014) 1350021 (36 pages) (with D. Li and L. Xue)

[22]  C. Miao, Scattering theory for NLS below 能量 space in dimension two, Contemp. Math., Vol. 17, No. 6 (2015) 1450052 (37 pages) (with J.Zheng)

[23]  C. Miao, On the isentropic compressible Euler equations with adiabatic index $\gamma=1$, Pacific J. Math., 262:1(2013), 109-128. (with D. Li and X. Zhang).

[24]  C.Miao, Maximal estimates for Schrodinger equation with inverse-square potential， Pacific Journal of mathematics,273(2015)1-20, (with J. Zhang and J. Zheng)

[25]  C. Miao, Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial 数据, Pacific J. Math., 262:2(2013), 263-283, (with Q. Chen and Z. Zhang)

[26]  C. Miao, 动力学 for the focusing, 能量-critical nonlinear Hartree equation, Forum Mathematicum. 27 ,No. 2(2015), 373–447 (with Y.Wu and G.Xu)

[27]  C.Miao, On Wolff’s L^2-Kakeya maximal inequality in ^3$, Forum Mathematicum. 27, No5(2015) 3035-3047 (with J.Yang and J.Zeng)

[28]  C.Miao, Sacttering theory for the radial H^{\frac12}-critical wave equation with a cubic convolution, J. of Diff. Equat. 259 (2015) 7199–7237.(with J.Zhang and J.Zheng)

[29]  C. Miao , 能量 Scattering for a Klein-Gordon Equation with a Cubic Convolution, J. of Diff. Equat.,257(2014)2178-2224, (with J.Zheng)

[30]  C. Miao, Global well-posedness for a modified critical dissipative quasi-geostrophic equation，J. of Diff. Equat., 252 (2012), 792 - 818, (with L. Xue)

[31]  C. Miao，Global well-posedness for the micropolar fluid system in critical Besov spaces，J. of Diff. Equat., 252(2012), 2698 - 2724, (with Q. Chen).

[32]  C. Miao, A note on the cone restriction conjecture，Proc. AMS, 140(2012), 2091 - 2102,(with J. Zhang and J. Zheng)

[33]  C. Miao, On global solution to the Klein–GordonHartree equation below energy space, J. of Diff. Equat., 250 (2011), 3418 - 3447, (with J. Zhang)

[34]  C. Miao, Global well-posedness for Schrodinger equation with derivative in H1/2 (R), J. of Diff. Equat., 251 (2011), 2164 - 2195, (with Y. Wu and G. Xu).

[35]  C. Miao, On the regularity of a class of generalized quasi- geostrophic equations, J. of Diff. Equat., 251(2011), 2789 – 2821, (with L. Xue)

[36]  C. Miao, Global well-posedness and scattering for the defocusing 能量critical nonlinear Schrodinger equations of fourth order in dimensions \geq 9$, J. of Diff. Equat., 251 (2011), 3381 – 3402, (with G. Xu and L. Zhao)

[37]  C. Miao, The focusing energy-critical Hartree equation, J. of Diff. Equat., 246 (2009), 1139-1163, (with D. Li and X. Zhang)

[38]  C. Miao, Global wellposedness and scattering for the focusing 能量critical nonlinear Schrodinger equations of fourth order in the radial case, J. of Diff. Equat., 246 (2009), 3715 – 3749, (with G. Xu and L. Zhao)

[39]  C. Miao, Global well-posedness of the critical Burgers equation in critical Besov spaces, J. of Diff. Equat., 247(2009), 1673 --1693, (with G. Wu).

[40]  C. Miao, Low regularity solutions of two fifth-order KdV type equations, Journal D’ 数学分析 Mathematique, 107 (2009), 221-238, (with W. Chen, J. Li and J. Wu)

[41]  C. Miao, On the low regularity of the fifth order Kadomtsev–Petviashvili I equation, J. of Diff. Equat., 245(2008), 3433 - 3469 (with W. Chen and J. Li)

[42]  C. Miao, Existence theorem and blow-up criterion of 南滑蜥 solutions to the two-fluid MHD equations in R3, J. of Diff. Equat., 239 (2007), 251 - 271, (with Q. Chen)

[43]  C. Miao, Global solutions of the Klein-GordonSchrodinger system with rough 数据 in R2+1, J. of Diff. Equat., 227(2006), 365 – 405, (with G. Xu)

[44]  C. Miao, Factorization theorem for product Hardy spaces. Studia Mathematica 177(2006) 255-249.(with W.Chen and Y.Han)

[45]  C.Miao, Scattering theory for the defocusing fourth-order Schrodinger Equations, Nonlinearity 29 (2016) 692–736(with J.Zheng),

[46]  C. Miao, An improved maximal inequality for 2D fractional order Schrödinger operators, Studia Mathematica, 230 (2015), 121-165. (with J.Yang and J.Zheng).

[47]  C.Miao, On local smoothing problems and Stein's maximal spherical means, Proc. of AMS, 145 (2017) 4269–4282 ( with J.Yang and J.Zheng).

[48]  C.Miao, Global well-posedness and scattering for nonlinear Schrodinger equations with combined nonlinearities, J.of Diff.Equat. 261(2016), 2881-2934 . (with X.Cheng and L.Zhao).

[49]  C.Miao, Regularity conditions for the suitable weak solutions of the Navier-Stokes system from its rotation form，Pacific J. Math. 288(2017), 189-216( with Y.Wang)

[50]  Solitary waves for nonlinear Schrödinger equation with 导数, Contemp. Math., Vol. 20, No. 4 (2018) 1750049. (X.Tang and G.Xu)

[51]  C.Miao, Scattering in H1 for the intercritical NLS with an inverse-square potential, JDE, 264(2018), 3174–3211. (with J.Lu and J.murphy).

[52]  C. Miao, The two-dimensional Euler equations in Yudovich type space and BMOtype space, Revista Matemtica Iberoamericana, 195–240. (with Q.Chen and X.Zheng)

[53]  C. Miao, Linear adjoint restriction estimates for paraboloid, Math. Z. 292(2019) 427-451.( with J.Zhang and J.Zheng)

[54]  C.Miao, On the regularity issues of a class of drift-diffusion equations with nonlocal diffusion. SIAM. J.Math.Anal. Vol. 51, 4(2019) 2927—2970. (with L. Xue)

[55]  C. Miao, Square function inequality for a class of Fourier 积分 operators satisfying cinematic 曲率 conditions, Forum Math, 2020, (with C. Gao and J. Yang)

[56]  C. Miao, Global well-posedness for the defocusing Hartree equation with radial 数据 in R4 Communications in CONTEMPORARY Mathematics, Vol. 22, No. 2 (2020) 1950004 (35 pages) (with G.Xu and J.Yang)

[57]  C. Miao,The global well-posedness and scattering for the 5-dimensional defocusing congormal invariant NLW with radial initial 数据 in a critical Besov space, Pacific Journal of Mathematics, 305(1),2020, 251-290.( J. Yang and T.Zhao)

参考资料：

人才培养

苗长兴所带领的科研团队，被国际数学联盟前主席Kenig评价为“国际偏微分方程研究领域最具活力与影响力的团队之一”。此外，他长期致力于数学人才培养，其指导的博士生中不乏学术骨干：张晓轶获2010年美国斯隆研究奖，且曾获美国普林斯顿高等研究院Neumann Fellowship，在质量临界Schrödinger方程领域取得重要成果；陈琼蕾则在流体动力学方程研究中表现突出，形成了系统性研究成果。

社会任职

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参考资料

杰出青年--苗长兴.北京应用物理与计算数学研究所.2025-11-28

北京应用物理与计算数学研究所苗长兴研究员学术报告.北京应用物理与计算数学研究所苗长兴研究员学术报告.2025-11-28

北京应用物理与计算数学研究所苗长兴研究员做客学者论坛.电子科技大学新闻.2025-11-28

苗长兴-研究生教育信息|.官网.2025-11-28

2023年中国科学院院士增选有效候选人名单公布.数学会.2025-11-28

骄傲！两院院士增选！武陟人苗长兴入选候选人名单！.微信公众平台.2025-11-28

韦东奕已获评北大副教授.搜狐网.2025-11-28