個(gè)人簡(jiǎn)介
苗長(zhǎng)興, 曾榮獲國(guó)家杰出青年基金、于敏數(shù)理科學(xué)獎(jiǎng)與中國(guó)工程物理研究院杰出專(zhuān)家，是我國(guó)自己培養(yǎng)的在國(guó)際偏微分方程領(lǐng)域有影響的杰出數(shù)學(xué)家。目前是Math.Meth.Appl.Sci.及Abstract Appl.Anal.兩個(gè)國(guó)際數(shù)學(xué)雜志（SCI）的編委。在國(guó)內(nèi)率先開(kāi)展偏微分方程的調(diào)和分析方法研究，在國(guó)際一流的學(xué)術(shù)刊物(如：CPAM、CMP、ARMA、JFA、JMPA、SIAM、AIHP、CPDE、PLMS等)上發(fā)表論文數(shù)十篇, 主要貢獻(xiàn)集中表現(xiàn)在調(diào)和分析、非線(xiàn)性色散方程的散射理論與流體動(dòng)力學(xué)方程的數(shù)學(xué)理論等研究領(lǐng)域，解決了若干個(gè)具有國(guó)際影響的數(shù)學(xué)問(wèn)題，得到了著名數(shù)學(xué)家Kenig、 Constantin等國(guó)際同行的高度評(píng)價(jià)。先后出版了《調(diào)和分析及其在偏微分方程中的應(yīng)用》、 《偏微分方程的調(diào)和分析方法》、 《非線(xiàn)性波動(dòng)方程的現(xiàn)代方法》等四部專(zhuān)著, 對(duì)國(guó)內(nèi)這一核心數(shù)學(xué)領(lǐng)域的研究與發(fā)展起到了基礎(chǔ)性的作用. 與此同時(shí), 所領(lǐng)導(dǎo)的科研團(tuán)隊(duì)是國(guó)際偏微分方程研究領(lǐng)域最具活力與影響力的團(tuán)隊(duì)之一。
培養(yǎng)了一批年輕有為的數(shù)學(xué)才俊，特別是博士生張曉軼（獲2010年美國(guó)斯隆研究獎(jiǎng)、美國(guó)普林斯頓高等研究院的Neumann followship）在質(zhì)量臨界的Schrodinger方程、博士后陳瓊蕾在流體動(dòng)力學(xué)方程等方面均取得了出色的研究成果。
人才培養(yǎng)
每三年開(kāi)設(shè)兩次基礎(chǔ)課程，常年開(kāi)設(shè)專(zhuān)業(yè)課，每周定期組織專(zhuān)業(yè)學(xué)術(shù)研討班，每年邀請(qǐng)數(shù)位國(guó)際知名專(zhuān)家學(xué)者學(xué)術(shù)訪問(wèn)，開(kāi)闊學(xué)生視野，緊跟國(guó)際學(xué)術(shù)前沿，注重培養(yǎng)學(xué)生提出疑問(wèn)、思考問(wèn)題、解決問(wèn)題的能力。
根據(jù)每位研究生的研究方向，指定學(xué)術(shù)團(tuán)隊(duì)中年輕教師或高年級(jí)學(xué)生常年定向幫扶低年級(jí)的學(xué)生，形成優(yōu)良的學(xué)術(shù)氛圍，使研究生的學(xué)習(xí)及研究達(dá)到長(zhǎng)久穩(wěn)態(tài)的良性循環(huán)。
發(fā)表論著
《調(diào)和分析及其在偏微分方程中的應(yīng)用》,現(xiàn)代基礎(chǔ)數(shù)學(xué)叢書(shū),No.89, (第二版) 2004
《偏微分方程的調(diào)和分析方法》現(xiàn)代基礎(chǔ)數(shù)學(xué)叢書(shū),No.117, 2008.
《非線(xiàn)性波動(dòng)方程的現(xiàn)代方法》、現(xiàn)代基礎(chǔ)數(shù)學(xué)叢書(shū),No.133, (第二版), 2008.
《Littlewood-Paley理論及其在流體動(dòng)力學(xué)方程中的應(yīng)用》，現(xiàn)代基礎(chǔ)數(shù)學(xué)叢書(shū),No.142,2012.
《現(xiàn)代調(diào)和分析及其應(yīng)用講義》，高等教育出版社,2018.
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, 33u201367 (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) 650u2013674, (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 $R^{1+n}$, Communications in Partial Differential Equations, 36: 729u2013776, 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) , 1173u20131224 ( 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) 915u2013946 ( 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 defocusing $H^{frac12}$- subcritical Hartree equation in $R^d$, Ann. Inst. Henri Poincar’{e}-Nonlinear Analysis, 26(2009)1831u20131852 (G.Xu and L.Zhao)
C. Miao, On the uniqueness of weak solutions for the 3D Navier-Stokes equations, Ann. Inst. Henri Poincar’{e}-Nonlinear Analysis, 26 (2009) 2165u20132180 (with Q.Chen 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) 605u2013627(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) 842u2013872，（with X. Zheng）
