張平,1969年生于高淳區(qū),是一位中國數(shù)學(xué)家。他現(xiàn)任中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院副院長和研究員。1997年,張平博士畢業(yè)后進(jìn)入中國科學(xué)院數(shù)學(xué)研究所從事博士后研究工作。1999年,張平博士后出站后留所工作。2006年,他入選“新世紀(jì)百千萬人才工程”國家級(jí)人選。2021年,他當(dāng)選為中國科學(xué)院院士。張平專攻純粹數(shù)學(xué)領(lǐng)域。2024年1月,張平任中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院院長(試用期一年)。
任免信息
2022年4月,經(jīng)中科院研究,決定張平同志任數(shù)學(xué)與系統(tǒng)科學(xué)研究院副院長。
教育經(jīng)歷
1997-07--1999-06中科院數(shù)學(xué)所,博士后
1987.09-1997.06南京大學(xué)數(shù)學(xué)系基礎(chǔ)數(shù)學(xué)專業(yè),本科,碩士,博士工作經(jīng)歷
2003-04~現(xiàn)在中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院,研究員
2001-04~2003-03中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院,副研究員
1999-07~2001-03中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院,助理研究員
擔(dān)任職務(wù)
中共二十大代表。
主要成就
教授課程
Navier-Stokes方程簡介
非線性波動(dòng)方程Sobolev空間及其應(yīng)用
不可壓縮流體力學(xué)方程組
Fourier分析在粘性流體力學(xué)方程組中的應(yīng)用
Fourier分析與流體力學(xué)方程組
二階拋物型偏微分方程(續(xù))
二階拋物型偏微分方程
不可壓縮流體力學(xué)方程組的數(shù)學(xué)理論
研究方向
微局部分析,非線性偏微分方程
科研項(xiàng)目
(1)?不可壓縮流體力學(xué)方程組的相關(guān)研究,主持,?國家級(jí),?2014-01--2017-12
(2)?流體力學(xué)及相關(guān)問題的數(shù)學(xué)理論,主持,?國家級(jí),?2010-01--2013-12
(3)?流體力學(xué)的數(shù)學(xué)理論,主持,?部委級(jí),?2010-01--2012-01
(4)?偏微分方程,主持,?國家級(jí),?2006-01--2009-12
出版信息
發(fā)表論文
(1)?Global existence and the decay of solutions to the Prandtl system with small analytic data,?Arch. Ration. Mech. Anal.,?2021,?第?2?作者
(2)?Global small analytic solutions of MHD boundary layer equations,?J. Differential Equations,?2021,?第?2?作者 (3)?Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity,?J. Differential Equations,?2021,?第?2?作者
(4)?Remark on 3-D Navier-Stokes system with strong dissipation in one direction,?Commun. Pure Appl. Anal.,?2021,?第?2?作者
(5)?Stability of Couette flow for 2D Boussinesq system with vertical dissipation,?J. Funct. Anal.,?2021,?第?3?作者
(6)?Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient,?J. Funct. Anal.,?2020,?第?2?作者
(7)?Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative,?Arch. Ration. Mech. Anal.,?2020,?第?3?作者
(8)?Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient,?Adv. Math.,?2020,?第?2?作者
(9)?Striated regularity of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscosity,?Comm. Math. Phys.,?2020,?第?2?作者
(10)?Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient.,?J. Differential Equation,?2020,?第?3?作者
(11)?Global solutions of 3-D Navier-Stokes system with small unidirectional derivative,?Arch. Ration. Mech. Anal.,?2020,?第?2?作者
(12)?Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system.,?Adv. Math.,?2020,?第?1?作者
(13)?Incompressible inhomogeneous fluids in bounded domains of R 3 with bounded 密度,?J. Funct. Anal.,?2020,?第?3?作者
(14)?Existence of incompressible and immiscible flows in critical function spaces on bounded domains,?J. Math. Fluid Mech.,?2019,?通訊作者
(15)?On the global well-posedness of 3-D Boussinesq system with variable viscosity,?Chin. Ann. Math. Ser. B,?2019,?通訊作者
(16)?Some remarks about the possible blow-up for the Navier-Stokes equations,?Comm. Partial Differential Equations,?2019,?通訊作者
(17)?Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction,?Sci. China Math.,?2019,?通訊作者
(18)?Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case,?Anal. Theory Appl.,?2019,?通訊作者
(19)?Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case,?Comm. Pure APPL 數(shù)學(xué),?2019,?通訊作者
(20)?三維不可壓Navier-Stokes 方程關(guān)于速度場單分 量在各向異性臨界空間中的正則性準(zhǔn)則,?中國科學(xué),?2019,?通訊作者
(21)?Large 時(shí)間 behavior of solutions to 3-D MHD system with initial 數(shù)據(jù) near Equilibrium,?Arch. Ration. Mech. Anal.,?2018,?通訊作者
(22)?On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component,?Calc. Var. Partial Differential Equations,?2018,?通訊作者
(23)?INHOMOGENEOUS INCOMPRESSIBLE VISCOUS FLOWS WITH SLOWLY VARYING INITIAL DATA,?J. Inst. Math. Jussieu,?2018,?通訊作者
(24)?the global solution of a 3-D MHD system with initial data near Equilibrium,?Comm. Pure APPL Math.,?2017,?通訊作者
(25)?On the critical one component regularity for 3-D Navier-Stokes system: general case,?Arch. Ration. Mech. Anal.,?2017,?通訊作者
(26)?On the global well-posedness of 2-D Boussinesq system with variable viscosity,?Adv. Math.,?2017,?通訊作者
(27)?On the critical one component regularity for 3-D Navier-Stokes systems.,?Annales Scientifiques de l'école Normale Supérieure. Quatrième Série,?2016,?通訊作者
(28)?On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow,?Arch. Ration. Mech. Anal.,?2016,?通訊作者
(29)?Global well-posedness for Navier-Stokes equations with small initial value in B0n,∞(Ω),?J. Math. Fluid Mech.,?2016,?第?2?作者
(30)?Long time well-posedness of Prandtl system with small and analytic initial data,?J. Funct. Anal.,?2016,?第?1?作者
(31)?Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system,?Calc. Var. Partial Differential Equations,?2015,?通訊作者
(32)?On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared 數(shù)據(jù),?Ann. Inst. H. Poincaré Anal. Non Linéaire,?2015,?通訊作者
(33)?Global small solutions of 2-D incompressible MHD system,?J. Differential Equations,?2015,?通訊作者
(34)?On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient,?J. Differential Equations,?2015,?通訊作者
(35)?Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity,?Sci. China Math.,?2015,?通訊作者
(36)?Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable,?Comm. Partial Differential Equations,?2015,?通訊作者
(37)?Global small solutions to three-dimensional incompressible magnetohydrodynamical system,?SIAM J. Math. Anal.,?2015,?第?2?作者
(38)?Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density,?J. Funct. Anal.,?2014,?通訊作者
(39)?Global axisymmetric solutions to three-dimensional Navier-Stokes system,?Int. Math. Res. Not. IMRN,?2014,?第?1?作者
(40)?Global small solutions to an MHD-type system: the three-dimensional case.,?MR3168121 Reviewed Lin, Fanghua; Zhang, Ping Global small solutions to an MHD-type system: the three-dimensional case. Comm. Pure Appl. Math.,?2014,?通訊作者
(41)?Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable,?J. Differential Equations,?2014,?通訊作者
(42)?Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density,?Comm. Partial Differential Equations,?2013,?通訊作者
(43)?Sums of large global solutions to the incompressible Navier-Stokes equations,?J. Reine Angew. Math.,?2013,?第?3?作者
(44)?Sums of large global solutions to the incompressible Navier-Stokes equations,?J. Reine Angew. Math.,?2013,?第?3?作者
(45)?Sums of large global solutions to the incompressible Navier-Stokes equations,?J. Reine Angew. Math.,?2013,?第?3?作者
(46)?Sums of large global solutions to the incompressible Navier-Stokes equations,?J. Reine Angew. Math.,?2013,?第?3?作者
(47)?Sums of large global solutions to the incompressible Navier-Stokes equations,?J. Reine Angew. Math.,?2013,?第?3?作者
(48)?Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity.,?J. Math. Pures Appl. (9),?2013,?通訊作者
(49)?Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field,?J. Math. Pures Appl. (9),?2013,?第?3?作者
(50)?Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity.,?Arch. Ration. Mech. Anal.,?2013,?通訊作者
(51)?Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface 張力,?Arch. Ration. Mech. Anal.,?2013,?通訊作者
(52)?能量 conservative solutions to a nonlinear wave system of nematic liquid crystals.,?Commun. Pure Appl. Anal.,?2013,?第?2?作者
(53)?Long-時(shí)間 existence of solutions to Boussinesq system,?SIAM J. Math. Anal.,?2012,?通訊作者
(54)?Long-wave approximation to the 3-D capillary-gravity waves,?SIAM J. Math. Anal.,?2012,?第?2?作者
(55)?Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime,?Arch. Ration. Mech. Anal.,?2012,?第?2?作者
(56)?能量 conservative solutions to a one-dimensional full variational wave system,?Comm. Pure Appl. Math.,?2012,?第?1?作者
(57)?On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces,?Arch. Ration. Mech. Anal.,?2012,?通訊作者
(58)?Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system,?. J. Funct. Anal.,?2012,?通訊作者
(59)?Regularity of the Koch-Tataru solutions to Navier-Stokes system,?Sci. China Math.,?2012,?第?1?作者
發(fā)表著作
Wigner measure and semiclassical limits of nonlinear Schr?dinger equations,?American Mathematical Society, Providence, RI,,?2008-10,?第?1?作者
主要成果
1.?我們[1,2]證明了一維Schrodinger-西莫恩·泊松方程的整體半經(jīng)典極限并在高維局部解決了此問題
2.?對球面對稱初值和軸對稱初值我們證明了若γ〉1,2,3維等可壓縮Navier-Stokes方程有整體弱解
3.?利用Young測度理論,?我們[4,5,6]證明了一維波動(dòng)變分方程和Camassa-Holm方程的整體弱解的存在性并研究了其結(jié)構(gòu)
4.?對不可壓粘彈性力學(xué)組,我們[7,8]證明了其整體光滑小解的適定性,并證明了2維FENE模型整體大光滑解的適定性
5.?對3維各向異性的不可壓縮Navier-Stokes方程,我們引進(jìn)了一類全新的Besov-Sobolve空間并在此空間中證明了該方程在此空間中小初值的整體適定性
6.?我們證明了3-D不可壓縮Euler方程自由邊值問題的局部設(shè)定性
社會(huì)任職
2013-01-01-今,J.éc.polytech.Math.,編委
2011-01-01-今,數(shù)學(xué)進(jìn)展,編委
2011-01-01-今,artialDifferentialEquations,編委
2010-01-01-今,ActaApplicandaeMathematicae,副主編
2009-01-01-今,中國科學(xué),編委
2008-01-01-今,CzechoslovakMath.J.,編委
獲得榮譽(yù)
人物評(píng)價(jià)
張平是國際偏微分方程領(lǐng)域知名數(shù)學(xué)家。他為中國偏微分方程研究水平走向世界先進(jìn)行列作出了重要貢獻(xiàn)。(重慶大學(xué)科學(xué)技術(shù)協(xié)會(huì)評(píng))
張平是國際非線性偏微分方程領(lǐng)域的著名數(shù)學(xué)家,并在薛定諤方程半經(jīng)典極限、Navier-Stokes方程組等重要研究方向做出非常突出的貢獻(xiàn)。(西南交通大學(xué)數(shù)學(xué)學(xué)院評(píng))
參考資料 >
張平.中國科學(xué)院大學(xué).2024-11-06
中國科學(xué)院院士張平做客我校“宏德講壇(第三十六講)”暢談Fourier分析與偏微分方程的前沿應(yīng)用 .北京化工大學(xué).2024-10-02
中共中國科學(xué)院黨組關(guān)于張平同志任職的通知.中共中國科學(xué)院.2024-10-02
中科院人事任免.今日頭條.2022-04-09
中國共產(chǎn)黨第二十次全國代表大會(huì)代表名單.新華網(wǎng).2022-09-28
國科大舉行2022級(jí)新生開學(xué)典禮.中國科學(xué)院大學(xué)-澎湃網(wǎng).2022-09-28
張平.中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院.2019-08-01
張平.中國科學(xué)院大學(xué).2021-12-03
中科院張平院士漫談Fourier 分析與偏微分方程.重慶大學(xué)科學(xué)技術(shù)協(xié)會(huì).2024-09-18
中科院數(shù)學(xué)所研究員張平來我院做學(xué)術(shù)報(bào)告.西南交通大學(xué)數(shù)學(xué)學(xué)院.2024-09-18