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苗長興，1963年7月出生于武陟縣，中國共產黨黨員，博士，北京應用物理與計算數學研究所研究員，博士生導師，中國工程物理研究院專家，是中國自己培養的在國際偏微分方程領域有影響的數學家。其主要研究方向為現代傅里葉分析及其在幾何測度論、數論中的應用；非線性色散方程的散射理論；流體動力學方程的數學理論。

1983年，苗長興畢業于鄭州大學。1994年，其獲研究生部博士學位。1996年，他調入北京應用物理與計算數學研究所工作。2010年4月，其所著的書籍《非線性波動方程的現代方法》由科學出版社出版。2019年5月，苗長興在河南科技大學開元校區作題為“調和分析以及在偏微分方程中的應用”的學術報告。2023年，苗長興成為中國科學院數學物理部院士增選有效候選人。他先后應邀訪問日本、英國、法國、美國、波蘭、中國香港并進行合作研究，多次在國際學術會議作邀請報告。多次受邀在北京大學、中科院晨興數學中心、北京國際數學中心等作傅里葉分析與偏微分方程的系列講座。

苗長興曾先后獲得國家杰出青年基金、于敏數理科學獎、中國工程物理研究院杰出專家獎、中國工程物理研究院科技創新一等獎等獎項。他在中國率先開展偏微分方程的調和分析方法研究，在國際一流的數學刊物發表論文七十余篇，在科學出版社先后出版了《調和分析及其在偏微分方程中的應用》《偏微分方程的調和分析方法》《非線性波動方程的現代方法》《Littlewood-Paley理論及其在流體動力學方程中的應用》等專著。擔任國際刊物《Math.Meth.in Appl.Sci.》的編委，其團隊被評價為“國際偏微分方程”領域最具活力與影響力的團隊之一。此外，他還培養了博士生張曉軼、陳瓊蕾等青年學者。

人物經歷

早年經歷

1963年7月，苗長興出生于武陟縣，1983年，苗長興畢業于鄭州大學。1994年，其獲研究生部博士學位。

工作經歷

1996年，苗長興調入北京應用物理與計算數學研究所工作。2010年4月，其所著的書籍《非線性波動方程的現代方法》由科學出版社出版。2018年，他所編著的書籍《現代調和分析及其應用講義》由高教社出版。2019年5月，苗長興在河南科技大學開元校區作題為“調和分析以及在偏微分方程中的應用”的學術報告。2023年，苗長興成為中國科學院數學物理部院士增選有效候選人，該候選資格由江松提名。2025年11月，在北京國際數學研究中心，由田剛院士倡議，由苗長興牽頭，以龐逸軒博士與韋東奕副教授為核心成員的研究團隊深入研讀王虹、Joshua Zahl關于三維Kakeya猜想證明的工作，完成并撰寫了詳細的驗證報告，確認這一突破性工作的完整性與正確性。

苗長興先后應邀訪問日本、英國、法國、美國、波蘭、中國香港并進行合作研究，多次在國際學術會議作邀請報告。在中國積極推動用現代傅里葉分析研究偏微分方程，多次受邀在北京大學、中科院晨興數學中心、北京國際數學中心、香港中文大學、中國科技大學、南京大學、浙江大學等作調和分析與偏微分方程的系列講座。

研究方向

苗長興的研究方向為現代調和分析及其在幾何測度論、數論中的應用；非線性色散方程的散射理論；流體動力學方程的數學理論。

主要成就

苗長興在中國率先開展偏微分方程的調和分析方法研究，在國際一流的數學刊CPAM、CMP、ARMA、JMPA、JFA、AIHP、PLMS、CPDE、SIAM、IUMJ、Revista Mate.Iber.等上發表論文七十余篇，主要貢獻集中表現在調和分析、非線性色散方程的散射理論與流體動力學方程的數學理論等研究領域，解決了若干個具有國際影響的數學問題。在科學出版社先后出版了《調和分析及其在偏微分方程中的應用》《偏微分方程的調和分析方法》《非線性波動方程的現代方法》《Littlewood- Paley理論及其在流體動力學方程中的應用》等專著，對中國核心數學領域的研究與發展起到了基礎性的作用。

主要著作

主要論文

[1]? C.Miao, 前鋒 self-similar solutions of the fractional Navier-Stokes Equations, Advances in 數學, 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函數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 數學 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 H?O 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. 數學. 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 Schr?dinger 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 數據, Pacific J. Math., 262:2(2013), 263-283, (with Q. Chen and Z. Zhang)

[26]? C. Miao, 動力學 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 $R^3$, 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 $d\geq 9$, 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’ 數學分析 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 數據 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 Schr?dinger 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 Schr?dinger equation with 導數, 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 積分 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 數據 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 數據 in a critical Besov space, Pacific Journal of Mathematics, 305(1),2020, 251-290.( J. Yang and T.Zhao)

參考資料：

人才培養

苗長興所帶領的科研團隊，被國際數學聯盟前主席Kenig評價為“國際偏微分方程研究領域最具活力與影響力的團隊之一”。此外，他長期致力于數學人才培養，其指導的博士生中不乏學術骨干：張曉軼獲2010年美國斯隆研究獎，且曾獲美國普林斯頓高等研究院Neumann Fellowship，在質量臨界Schr?dinger方程領域取得重要成果；陳瓊蕾則在流體動力學方程研究中表現突出，形成了系統性研究成果。