教师主页移动版

更新日期：2018年9月9日 姓 名 李用声 性 别 男 出生年月 1965年7月 籍贯 湖北南漳县 民 族 汉族 政治面貌 无党派 最后学历 博士研究生 最后学位 理学博士 技术职称 教授 导师类别 博、硕导 行政职务 副所长 Email yshli@scut.edu.cn 工作单位 数学学院、数学研究所 邮政编码 510640 通讯地址 华南理工大学4号楼 单位电话 02087114347 个人简介 李用声 男，1965年7月生于湖北省襄阳市。华南理工大学数学系教授、博士生导师。 工作经历 1988年7月—1995年12月 在华中理工大学数学系任教；历任助教、讲师。1995年12月—1998年6月 在北京应用物理与计算数学研究所博士后流动站做博士后。1998年7月—2002年9月 在华中理工大学数学系任教，历任副教授、教授。2002年10月—现在 华南理工大学数学学院任教。二级教授。 教育经历 1981年9月—1985年7月 在华东师范大学数学系读大学，获得学士学位。1985年9月—1988年6月 在华东师范大学数学系读研究生，获得硕士学位。1991年9月—1995年12月 在华中理工大学数学系读博士研究生，1996年6月获得博士学位。 获奖、荣誉称号 1998年无穷维动力系统的理论研究及其应用，国防科工委科技进步一等奖(第三完成人) 。1998年被评为湖北省跨世纪学术骨干。  2012年全国优秀博士学位论文提名论文指导老师。 社会、学会及学术兼职 广东省数学会副秘书长、常务理事。 研究领域 主要研究方向：非线性发展方程 科研项目 1995年——1997年 主持一项湖北省自然科学基金项目（非线性发展方程与无穷维动力系统）。2001年——2003年 主持一项国家自然科学基金项目(数学物理中某些非线性发展方程的适定性和长时间性态)。2005年——2007年 主持一项国家自然科学基金项目(数学物理中某些非线性偏微分方程)。  2008年——2010年 主持一项国家自然科学基金项目(数学物理中非线性Schrodinger型方程的研究)。  2012年——2015年 主持一项国家自然科学基金项目(Davey-Stewartson 型方程组的适定性和爆破性研究）。2013——2014年 主持广东省优秀博士论文作者资助项目（两类非线性发展方程的适定性研究）。2016年——2019年 主持一项国家自然科学基金项目(拟线性Schrodinger型方程的适定性和爆破性）。 发表论文 主要从事非线性偏微分方程和无穷维动力系统的研究。涉及的方程有Schrodinger型方程和方程组、流体力学方程组、Ginzburg-Landau方程、KdV型和Camassa-Holm型方程。研究的内容包括这些方程（组）解的存在性、唯一性、爆破性、衰减性、整体吸引子的存在性、整体吸引子的分形维数估计等问题。在国内外重要学术刊物、论文集上发表论文90 余篇，SCIE收录69篇。指导的博士生曾获得全国百篇优秀博士论文提名奖。1. Yan Wei; Li Yongsheng; Huang Jianhua; Duan Jinqiao. The Cauchy problem for the Ostrovsky equation with positive dispersion. NODEA-Nonlinear Differential Equations and Applications, Vol 25, No. 3, 2018, 25:22. DOI: 10.1007/s00030-018-0514-x.2. Zhai Xiaoping; Li Yongsheng; Yan Wei. Global well-posedness for the 3D viscous nonhomogeneous incompressible magnetohydrodynamic equations. Analysis and Applications, Vol. 16, No. 3, 2018, 363-405. DOI: 10.1142/S0219530517500014.3. Zhao Yongye; Yang Meiling; Li Yongsheng. Non-uniform dependence for the periodic higher dimensional Camassa-Holm equations. Journal of Mathematical Analysis and Applications, Vol. 461, No. 1, 2018, 59-73. DOI: 10.1016/j.jmaa.2018.01.012.4. Ren Yuanyuan; Li Yongsheng; Yan Wei. Sharp well-posedness of the cauchy problem for the fourth order nonlinear schrodinger equation. Communications on Pure and Applied Analysis, Vol. 17, No. 2, 2018, 487-504. DOI: 10.3934/cpaa.2018027. 5. Xu Huan; Li Yongsheng; Chen Fei. Global Solution to the Incompressible Inhomogeneous Navier-Stokes Equations with Some Large Initial Data. Journal of Mathematical Fluid Mechanics, Vol. 19, No. 2, 2017, 315-328. DOI: 10.1007/s00021-016-0282-5.6. Zhai Xiaoping; Li Yongsheng; Yan Wei. Global solution to the 3-D density-dependent incompressible flow of liquid crystals. Nonlinear Analysis-Theory Methods & Applications Vol. 156, 2017, 249-274. DOI: 10.1016/j.na.2017.02.020.7. Yan Wei; Li Yongsheng; Zhai Xiaoping; Zhang Yimin. The Cauchy Problem for the Shallow Water Type Equations in Low Regularity Spaces on the Circle. Advances in Differential Equations, Vol.22, Nos.5-6, 2017, 363-402.8. Chen Fei; Li Yongsheng; ZhaoYongye. Global well-posedness for the incompressible MHD equations with variable viscosity and conductivity. Journal of Mathematical Analysis and Applications, Vol. 447, No. 2, 2017, 1051-1071. DOI: 10.1016/j.jmaa.2016.10.059.9. Ma Haitao; Zhai Xiaoping; Yan Wei; Li Yongsheng. Global strong solution to the 3D incompressible magnetohydrodynamic system in the scaling invariant Besov-Sobolev-type spaces. Zeitschrift fur Angewandte Mathematik und Physik, Vol. 68, No. 1, 2017, 68:14. DOI: 10.1007/s00033-016-0761-9.10. Zhai Xiaoping; Li Yongsheng; Xu Huan. Global well-posedness for the 2-D nonhomogeneous incompressible MHD equations with large initial data. Nonlinear Analysis-Real World Applications, Vol. 33, No. 1-18.2017. DOI: 10.1016/j.nonrwa.2016.05.009.11. Li Shiming; Li Yongsheng; Yan Wei. A Global Existence and Blow-Up Threshold for Davey-Stewartson Equations in R^3. Discrete and Continuous Dynamical Systems-Series S, Vol. 9, No. 6, 2016, 1899-1912. DOI: 10.3934/dcdss.2016077.12. Zhai Xiaoping; Li Yongsheng; Yan Wei. Well-Posedness for the Three Dimension Magnetohydrodynamic System in the Anisotropic Besov Spaces. Acta Applicandae Mathematicae, Vol. 143, No. 1, 2016, 1-13. DOI: 10.1007/s10440-015-0024-3.13. Chen Fei; Li Yongsheng; Xu Huan. Global Solution to the 3D Nonhomogeneous Incompressible MHD Equations with Some Large Initial Data. Discrete and Continuous Dynamical Systems, Vol. 36, No. 6, 2016, 2945-2967. DOI: 10.3934/dcds.2016.36.2945.14. Xu Huan; Li Yongsheng; Zhai Xiaoping. On the Well-Posedness of 2-D Incompressible Navier-Stokes Equations with Variable Viscosity in Critical Spaces. J. Differential Equations, Vol.260, No. 8, 2016, 6604-6637. DOI: 10.1016/j.jde.2016.01.007.15. Zhai Xiaoping; Li Yongsheng; Yan Wei. Global Solutions to the Navier-Stokes-Landau-Lifshitz System. Mathematische Nachrichten, Vol. 289, No. 2-3, 2016, 377-388. DOI: 10.1002/mana.201400419.16. Zhai Xiaoping; Li Yongsheng; Yan Wei. Global well-posedness for the 3-D incompressible inhomogeneous MHD system in the critical Besov spaces. Journal of Mathematical Analysis and Applications, Vol. 432, No. 1, 2015, 179-195 DOI: 10.1016/j.jmaa.2015.06.04817. Li Shiming; Yan Wei; Li Yongsheng; Huang Jianhua. The Cauchy Problem for a Higher Order Shallow Water Type Equation on the Circle. J. Differential Equations, Vol. 259, No. 9, 2015, 4863-4896. DOI: 10.1016/j.jde.2015.06.017.18. Zhai Xiaoping; Li Yongsheng; Yan Wei. Global Well-Posedness for the 3-D Incompressible MHD Equations in the Critical Besov Spaces. Communications on Pure and Applied Analysis, Vol. 14, No. 5, 2015, 1865-1884. DOI: 10.3934/cpaa.2015.14.186519. Li Yongsheng; Huang Jianhua; Yan Wei. The Cauchy Problem for the Ostrovsky Equation with Negative Dispersion at the Critical Regularity. J. Differential Equations, Vol. 259, No. 4, 2015, 1379-1408. DOI: 10.1016/j.jde.2015.03.007.20. Zhao Yongye; Li Yongsheng; Yan Wei. The Global Weak Solutions to the Cauchy problem of the Generalized Novikov Equation. Applicable Analysis, Vol. 94, No. 7, 2015, 1334-1354. DOI: 10.1080/00036811.2014.93082621. Zhai Xiaoping; Li Yongsheng. Remarks About the Inviscid Limit for the N-Dimension Magnetohydrodynamic System in the L^p Type Space. Applied Mathematics Letters, Vol. 45, 2015, 37-40. DOI: 10.1016/j.aml.2015.01.009.22. Chen Defu; Li Yongsheng; Yan Wei. On well-posedness of two-component Camassa-Holm system in the critical Besov space. Nonlinear Analysis-Theory Methods & Applications, Vol. 120, 2015, 285-298. DOI: 10.1016/j.na.2015.03.01623. Yan Wei; Li Yongsheng. The Cauchy Problem for the Modified Two-Component Camassa-Holm System in Critical Besov Space. Annales de l’Institut Henri Poincare-Analyse Non Lineaire, Vol.32, No. 2, 2015, 443-469. DOI: 10.1016/j.anihpc.2014.01.003.24. Chen Defu; Li Yongsheng; Yan Wei. On the cauchy problem for a generalized Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Vol. 35, No. 3, 2015, 871-889. DOI: 10.3934/dcds.2015.35.87125. Yan Wei; Li Yongsheng; Zhang Yimin. The Cauchy problem for the generalized Camassa-Holm equation. Applicable Analysis, Vol. 93, No. 7, 2014, 1358–1381. DOI: 10.1080/00036811.2013.83332526. Yan Wei; Li Yongsheng; Zhang Yimin. The Cauchy problem for the generalized Camassa-Holm equation in Besov space. J. Differential Equations 256 (2014), No. 8, 2876–2901. DOI: 10.1016/j.jde.2014.01.023.27. Zhao Yongye; Li Yongsheng; Yan Wei. Local well-posedness and persistence property for the generalized Novikov equation. Discrete and Continuous Dynamical Systems,  Vol. 34, No. 2, 2014, 803-820. DOI: 10.3934/dcds.2014.34.80328. Yan Wei; Li Yongsheng; Zhang Yimin. The Cauchy problem for the Novikov equation. NoDEA-Nonlinear Differential Equations Appl. Vol. 20, No. 3, 2013, 1157–1169. DOI: 10.1007/s00030-012-0202-1.29. Yan Wei; Li Yongsheng; Li Shiming. Sharp well-posedness and ill-posedness of a higher-order modified Camassa-Holm equation. Differential Integral Equations, Vol. 25, Nos. 11-12, 2012, 1053–1074.30. Yan Wei; Li Yongsheng; Zhang Yimin. The Cauchy problem for the integrable Novikov equation. J. Differential Equations, Vol. 253, No. 1, 2012, 298–318. DOI: 10.1016/j.jde.2012.03.015.31. Yan Wei; Li Yongsheng. Ill-Posedness of Modified Kawahara Equation and Kaup-Kupershmidt Equation. Acta Mathematica Scientia, Vol. 32, No. 2, 2012, 710-716.32. Yan Wei; Li Yongsheng; Zhang Yimin. Global existence and blow-up phenomena for the weakly dissipative Novikov equation. Nonlinear Anal. Vol. 75, No. 4, 2012, 2464–2473. DOI: 10.1016/j.na.2011.10.044.33. Yang Xingyu; Li Yongsheng. The global attractor for a weakly damped forced shallow water equation in Sobolev spaces of low regularity. Nonlinear Analysis-Theory Methods & Applications, Vol. 75, No. 4, 2012, 2672-2691. DOI: 10.1016/j.na.2011.11.010.34. Yan Wei; Li Yongsheng; Yang Xingyu. The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity. Mathematical and Computer Modelling, Vol. 54, No. 5-6, 2011, 1252-1261. DOI: 10.1016/j.mcm.2011.03.03635. Yan Wei; Li Yongsheng. Ill-posedness of Kawahara equation and Kaup-Kupershmidt equation. J. Math. Anal. Appl. 380, No. 2, 2011, 486–492. DOI: 10.1016/j.jmaa.2011.03.047.36. Li Yongsheng; Yang Xingyu. Global well-posedness for a fifth-order shallow water equation on the circle. Acta Mathematica Scientia, Vol. 31, No. 4, 2011, 1303-1317.37. Li Yongsheng; Wu Yifei; Xu Guixiang. Global well-posedness for the mass-critical nonlinear Schrödinger equation on T. J. Differential Equations 250, No. 6, 2011, 2715–2736. DOI: 10.1016/j.jde.2011.01.02538. Zhao Caidi; Li Yongsheng; Zhou Shengfan. Random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Acta Mathematica Scientia, Vol. 31, No. 2, 2011, 567-575.39. Li Yongsheng; Wu Yifei; Xu Guixiang. Low regularity global solutions for the focusing mass-critical NLS in R. SIAM J. Math. Anal. Vol. 43, No. 1, 2011, 322–340. DOI: 10.1137/090774537.40. Li Yongsheng; Wu Yifei. Global well-posedness and scattering for the defocusing Hartree equation in R^3. J. Math. Anal. Appl. Vol. 371, No. 1, 2010, 223–232. DOI: 10.1016/j.jmaa.2010.04.05441. Yan Wei; Li Yongsheng. The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity. Math. Methods Appl. Sci., Vol. 33, No. 14, 2010, 1647–1660. DOI: 10.1002/mma.127342. Li Yongsheng; Wu Yifei. Global well-posedness for the Benjamin equation in low regularity. Nonlinear Anal. 73 (2010), No. 6, 1610–1625. DOI: 10.1016/j.na.2010.04.068.43. Li Yongsheng; Yan Wei; Yang Xingyu. Well-posedness of a higher order modified Camassa-Holm equation in spaces of low regularity. J. Evol. Equ. Vol. 10, No. 2, 2010, 465–486. DOI: 10.1007/s00028-010-0057-z44. Yang Xingyu; Li Yongsheng. Global well-posedness for a fifth-order shallow water equation in Sobolev spaces. J. Differential Equations, Vol. 248, No. 6, 2010, 1458–1472. DOI: 10.1016/j.jde.2010.01.004.45. Li Yongsheng; Yang Xingyu. Existence and regularity of the global attractor for a weakly damped forced shallow water equation in H^1(R). Nonlinear Analysis-Theory Methods & Applications, Vol. 71, No. 11, 2009, 5587-5598 DOI: 10.1016/j.na.2009.04.05646. Zhao Caidi; Li Yongsheng; Zhou Shengfan. Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. J. Differential Equations Vol. 247, No. 8, 2009, 2331–2363. DOI: 10.1016/j.jde.2009.07.031.47. Zhao Caidi; Zhou Shengfan; Li Yongsheng. Existence and regularity of pullback attractors for an incompressible non-newtonian fluid with delays. Quarterly of Applied Mathematics,  Vol. 67, No. 3, 2009, 503-540. DOI: 10.1090/S0033-569X-09-01146-2.48. Zhao Caidi; Zhou Shengfan; Li Yongsheng. Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. Journal of Computational and Applied Mathematics,  Vol. 220, No. 1-2, 2008, 129-142. DOI: 10.1016/j.cam.2007.08.002.49. Zhao Caidi; Zhou Shengfan; Li Yongsheng. A note on nonautonomous Klein-Gordon-Schrodinger equations with homogeneous Dirichlet boundary condition. Acta Mathematica Scientia, Vol. 28, No. 4, 2008, 823-833.50. Zhao Caidi; Zhou Shengfan; Li Yongsheng. Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Applied Mathematics and Computation, Vol. 201, No. 1-2, 2008, 688-700. DOI: 10.1016/j.amc.2008.01.00551. Zhao, Caidi; Li Yongsheng; Zhou Shengfan. Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane. Acta Math. Sin. (Engl. Ser.), Vol. 23, 2007, No. 11, 2043–2060. DOI: 10.1007/s10114-007-0949-1.52. Zhao Caidi; Zhou Shengfan; Li Yongsheng. Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Journal of Mathematical Analysis and Applications, Vol. 325, No. 2, 2007, 1350-1362. DOI: 10.1016/j.jmaa.2006.02.06953. Li, Yongsheng. Long Time Behavior for the Weakly Damped Driven Long-Wave--Short-Wave Resonance Equations. J. Differential Equations, Vol. 223, 2006, 261-289. DOI: 10.1016/j.jde.2005.07.00654. Dong Boqing; Li Yongsheng. Sharp Rate of Decay for Solutions to Non-Newtonian Fluid in R^2. Acta Math. Sinica, Vol. 48, No. 6, 2005, 1065-1070. 55. Zhao Caidi; Li Yongsheng. A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains. Nonlinear Analysis-Theory Methods & Applications, Vol. 60, No. 3, 2005, 475-483. DOI: 10.1016/j.na.2004.09.01456. Dong Boqing; Li Yongsheng. Large time behavior to the system of incompressible non-Newtonian fluids in R^2. J. Math. Anal. Appl. Vol. 298, 2004, 667-676. DOI: 10.1016/j.jmaa.2004.05.032.57. Li Yongsheng; Guo Boling. Attractor of dissipative radially symmetric Zakharov equations outside a ball. Math. Meth. Appl. Sci. Vol. 27, No. 7, 2004, 803–818. DOI: 10.1002/mma.472.58. Zhao Caidi; Li Yongsheng. H^2-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Nonlinear Analysis-Theory Methods & Applications,  Vol. 56, No. 7, 2004, 1091-1103. DOI: 10.1016/j.na.2003.11.00659. Li Yongsheng; Guo Boling. Asymptotic smoothing effect of solutions to weakly dissipative Klein–Gordon–Schrodinger equations, J. Math. Anal. Appl., Vol. 282, 2003, 256–265. DOI: 10.1016/S0022-247X(03)00152-5. 60. Li Yongsheng; Guo Boling. Existence and Decay of Weak Solutions to Degenerate Davey-Stewartson Equations. Acta Math. Scientia, Vol. 22. No. 3, 2002, 302-31061. Li Yongsheng; Guo Boling. Global Attractor for Generalized 2D Ginzburg-Landau Equation. In: “Proceedings of PDE 2000”, Clausthal Germany, July 24-28, 2000, ed M. Demuth, Birkhauser Publishing Hause, 2001, pp 197-204.62. Li Yongsheng; Guo Boling. Global existence of solutions to the derivative 2D Ginzburg-Landau equation, J. Math. Anal. Appl. Vol. 249, 2000, 412-432.63. Li Yongsheng; Guo Boling; Jiang Murong. Global existence and blowup of solutions to a degenerate Davey-Stewartson equations. J. Math. Phys., Vol. 41, No. 5, 2000, 2943-2956.64. Zheng Quan; Li Yongsheng. Abstract parabolic systems and regularized semigroups. Pacific J. of Math., Vol. 182, No. 1, 1998, 183-199.65. Li Yongsheng; Guo Boling. Attractor for dissipative Zakharov equations in an unbounded domain. Reviews in Math. Phys. Vol. 9, No. 6, 1997, 675-687.66. Guo Boling; Li Yongsheng. Attractor for dissipative Klein-Gordon-Schrodinger equations in R^3. J. Differential Equations, Vol. 136, No. 2, 1997, 356-377.67. Li Yongsheng; Chen Qingyi. Long time behavior of ferromagnetic chain equations: Global attractors and their dimension. Math. Methods Appl. Sci. Vol. 20, No. 15, 1997, 1271-1281.68. Li Yongsheng; Chen Qingyi. Finite dimensional global attractor for dissipative Schrodinger-Boussinesq Equations. J. Math. Anal. Appl. Vol. 205, No.1, 1997, 107-132.69. Li Yongsheng; Chen Qingyi. On initial boundary value problems for nonlinear Schrodinger equations. Acta Math. Scientia, Vol. 16, No. 4, 1996, 421-431. 教学活动 主讲数学专业的研究生课程：现代分析基础、Sobolev空间、二阶椭圆型方程、非线性发展方程 、非线性泛函分析、线性算子半群及其在PDE中的应用、调和分析等主讲数学系、工科各院系本科生课程：高等数学、工科数学分析、线性代数、常微分方程、偏微分方程、数学物理方程与特殊函数、复变函数、泛函分析、微分几何等 指导学生情况 毕业博士研究生9名，其中，吴奕飞于2012年获得全国优秀博士学位论文提名论文奖在读博士研究生5名毕业硕士研究生29人在读硕士研究生4人