酒全森

首都師範大學教授

酒全森,首都師範大學數學科學學院教授、博士生導師、2006.7—2014.8擔任數學科學學院科研副院長。主要研究方向為可壓縮、不可壓縮流體方程、磁流體方程、Boussinesq方程等流體方程解的適定性理論。主要從事非線性偏微分方程、流體方程數學理論研究,在Comm. Math. Phys.、SIAM J. Math. Anal.、Comm. Partial Diff. Eqns.等國際重要的數學期刊上發表論文60餘篇。於2003年獲北京市科技新星計劃項目,2013年獲北京市長城學者計劃項目。曾主持3項國家自然科學基金面上項目、參加1項國家自然科學基金重點項目,先後到香港中文大學數學研究所、美國普林斯頓大學、美國Oklahoma州立大學、巴西Unicamp大學、法國薩瓦大學(Savoie University)等學術訪問。

個人簡歷


2004.1—今:首都師範大學數學系,教授
1998.6—2004.1:首都師範大學數學系,副教授
1996.7—1998.6:首都師範大學數學系,講師

研究方向


偏微分方程,流體方程組數學理論

科研項目


1. 2005.1—2008.12: 國家自然科學基金重點項目: Boltzman方程及其相關宏觀模型(10431060), 主要成員
2. 2002.1—2004.12: 國家自然科學基金青年項目: 不可壓流體方程的定性研究, 主持人
3. 2003.12—2006.11: 北京市科技新星計劃項目(A)(2003A45) 主持人
4. 2004.1—2006.12: 北京市自然科學基金, 不可壓流體中一些數學問題的研究(1042003),主持人
5. 2003.1—2005.12: 數學物理中的若干問題研究, 北京市教委重點項目, 參加者
6. 2005.1--2007.12:北京市自然科學基金項目和北京市教育委員會科技發展計劃重點項目: 流體力學

教學情況


本科生課:《數理方程》、《常微分方程》、《常微分方程定性理論》、《複變函數
研究生課:《偏微分方程》、《二階橢圓方程》、《非線性發展方程》、《流體方程》
2006秋季 複變函數 04級本科生
2005年秋季至2006年春季 二階橢圓方程 04級研究生
2005年春季 數學物理方程 01級本科生
2004年秋季至2005年春季 流體方程 03級研究生
2004年春季 常微分方程 02級本科生
2003年秋季 非線性發展方程 02級研究生
2003年春季 常微分方程 01級本科生
2003年春季 二階橢圓方程 02級研究生
2002年秋季 偏微分方程 02級研究生

主要論著


Jiu, Quansen; Wang, Yanqing; Wu, GangPartial regularity of the suitable weak solutions to the multi-dimensional incompressible Boussinesq equations.J. Dynam. Differential Equations 28(2016),no. 2,567–591
Jiu Quansen, Wang Yuexun, Xin Zhouping, Remarks on Blow-up of Smooth Solutions to the Compressible Fluid with Constant and Degenerate Viscosities,J. Differential Equations 259(2015),no. 7,2981–3003.
Jiu Quansen, NiuDongjuan, Wu Jiahong, Xu Xiaojing, Yu Huan, The 2D magnetohydrodynamic equations with magnetic diffusion,Nonlinearity 28 (2015), 3935-3955.
Jiu, Quansen; Yu, HuanDecay of solutions to the three-dimensional generalized Navier-Stokes equations.Asymptotic Analysis94(2015),no. 1-2,105–124.
Jiu Quansen, Wu Jiahong, Yang Wanrong, Eventual Regularity of the Two-dimensional Boussinesq Equations with Supercitical Dissipation,J. Nonlinear Sci. 25(2015), no. 1, 37-58.
Jiu Quansen, Miao Changxing, Wu Jiahong, Zhang Zhifei, The 2D incompressible Boussinesq equations with general critical dissipation,SIAM J. Math. Anal.46(2014),no. 5,3426–3454.
Yang, Wanrong; Jiu, Quansen; Wu, JiahongGlobal well-posedness for a class of 2D Boussinesq systems with fractional dissipation.J. Differential Equations257(2014),no. 11,4188–4213.
Q.S.Jiu, M.J.Li, Y.L.Ye, Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data,J. Diff. Eqns., 257 (2) (2014), 311-350.
Jiu Quansen,Wang Yi,Xin Zhouping, Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum,J. Math. Fluid Mech.16(2014), no. 3, 483-521.
Jiu Quansen,Wang Yi,Xin Zhouping, Vaccum Behaviors around the rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity,SIAMJ. Math. Anal., 45(5)(2013),3194-3228.
Jiu Quansen,Wang Yi,Xin Zhouping, Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces,J. Diff. Eqns.,255(3)(2013), 351-404.
Dou Changsheng, Jiu Quansen, On One-dimensional Compressible Navier-Stokes Equations with Degenerate Viscosity and Constant State at Far fields,J. Math. Phys.4(2013),no. 7,071504, 22 pp
Jiu Quansen, Niu Dongjuan, Wu Jiahong, Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions,Nonlinearity,25 (2012) 641-655.
Jiu Quansen, Wang Yun, Inviscid Limit for Vortex Patches in A Bounded Domain,Appl. Math. Letter, 25 (2012), 1367-1372.
Jiu Quansen,Wang Yi,Xin Zhouping, Stability of Rarefaction Wave to the 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity,Comm. Partial Diff. Eqns.,36(4)602-634, 2011.
Dou Changsheng, Jiu Quansen, A Remark on Free Boundary Problem of 1-D Compressible Navier-Stokes Equations with Density-Dependent Viscosity,Math. Methods Appl. Sci.,33, 103-116,2010.
Jiu Quansen, Xin Zhouping, Smooth Approximations and Exact Solutions of the 3D Steady Axisymmetric Euler Equations,Comm. Math. Phys.,287, 323-349, 2009.
Cai Xiaojing, Jiu Quansen, Weak and Strong Solutions for the Incompressible Navier-Stokes Equations with Damping Term,J. Math. Anal. Appl.,343,799-809,2008.
Jiu Quansen, Xin Zhouping, The Cauchy Problem for 1D Compressible Flows with Density-Dependent Viscosity Coefficients,Kinetic and Related Models,1(2), 313-330,2008.
Guo Zhenhua, Jiu Quansen, Xin Zhouping, Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients,SIAM J. Math. Anal.,39(5),1402-1427, 2008.
Jiu Quansen, Niu Dongjuan, Vanishing Viscous Limits for the 2D Lake Equations with Navier-Boundary Conditions J. Math. Appl. Anal., 338,1070-1080, 2008.
Jiu Quansen, Niu Dongjuan, Mathematical Results Related to A Two-Dimensional Magneto-hydrodynamic Equations Acta Math. Scientia,26B(4),744-756,2006.
Jiu Quansen, Xin Zhouping, On Strong Convergence to 3-D Axisymmetric Vortex Sheets JDE,223, 33-50,2006.
Jiu Quansen, Xin Zhouping, On Strong Convergence to 3-D Steady Vortex Sheets JDE, 237, 448-470, 2007.
Jiu Quansen, Xin Zhouping, Viscous Approximations and Decay Rate of Maximal Vorticity Function for 3-D Axisymmetric Euler Equations Acta Math. Sinica, 20(3), 385-404, 2004.
Jiu Quansen, He Cheng, Remarks on the regularity to 3-D Ideal Magnetohydrodynamics Equations Acta Math. Sinica, 20(4) 695-708, 2004.
Jiu Quansen, Xin Zhouping, Some regularity Criteria on Suitable Weak Solutions of 3-D Incompressible Axisymmetric Navier-Stokes Equations Proceedings in honor of L. Nirenberg’s 75th Birthday, International Press, 119-139, 2003.
Ding Xiaxi, Jiu Quansen, He Cheng,On A Nonhomogeneous Bugers’ Equation Sciences in China, 44 (8), 984-993,2001.

學術訪問


2004.11-2005.1: 香港中文大學數學科學研究所,訪問學者
2003.10—2004.1: 同上
2001.9—2002.8: 香港中文大學數學科學研究所, 研究助理(Research Associate)
2000.11—2001.2: 同上
2000.3—2000.9: 中國科學院數學與系統科學研究院, 訪問學者