简怀玉,澳门新莆京7906not教授,博士生导师
电子邮箱: hjian@tsinghua.edu.cn
研究方向
非线性偏微分方程和几何分析。在American Journal of Mathematica、Advance in Mathematics、J. Differential Geometry、J. Reine Angew Math (Crell)、Siam J. Appl. Math、Siam J. Math Anal、Calculus Var & PDE、Indiana Univ. Math J、 J. Functional Analysis、J. Differential Equations、 Physica D等重要国际杂志上发表了80多篇论文; 应邀参加国际学术会议并在大会上做邀请报告近100余次。
教育经历
1979.9—1983.7:湖南师范大学数学系基础数学专业,获学士学位;
1985.9—1988.6:湖南大学应用数学系应用数学专业,获硕士学位;
1992.2—1994.6:清华大学数学系应用数学专业,获博士学位。
工作经历
1983.3—1985.8:湖南新邵一中,高中数学教师;
1988.7—1992.1:湖南怀化学院数学系,讲师,
1994.7—1996.10:中国科学院数学研究所,博士后;
1996.11—2000.6:清华大学数学系副教授;
2000.7—至今: 清华大学数学系教授;
国外半年以上工作经历
1995.08—1996.02:意大利国际理论物理中心和比萨大学访问学者;
1996.04—1996.10, 2012.01—2010.06:香港中文大学访问学者
2000.09—2001.07:美国哈佛大学高级访问学者;
2001.08—2002.02:美国田纳西大学研究教授;
2004.01—2004.06:美国康涅狄克大学访问教授;
2008.08—2009.02; 香港科技大学访问教授
2009.08—2010.02:新加坡国立大学访问教授;
1996.02—1996.08, 2010.02—2010.08, 2014.02—2014.08:澳大利亚国立大学研究员。
主要科研基金
1996—1999: 非线性抛物方程的粘性解,国家自然科学基金青年项目(No. 19701018);
2000—2005: 前沿数学的若干问题,国家科技部首届973项目
(No. G1999075);
2001—2004: 超导的漩涡运动与曲率流,国家教育部跨世纪人才
(No. JKH-[2001]-3);
2006—2010: 非线性椭圆和抛物型方程,国家自然科学基金重点项目(No. 10631020);
2011—2016: 非线性椭圆和抛物型方程,国家自然科学基金重点项目(No. 11131005);
2013—2018: 非常规油气介质中波传播的数学物理模型及其求解, 国家自然科学基金重大项目(No.41390452);
2018—2021:两类Monge-Ampere方程的研究,国家自然科学基金面上项目(No. 11771237);
2022—2026:Monge-Ampere方程研究及其相关研究,国家自然科学科学基金重点专项项目(No. 12141103).
学术兼职:
1.学术期刊的编委:
数学进展 (2002-2014);
Northeastern Mathematical Journal (2004-2010);
Frontiers of Mathematics (2004-);
应用数学学报 (2006-);
纯粹数学与应用数学 (2011-).
2.中国工业与应用数学学会常务理事(2004-2008;2021-2025)和秘书长 (2004-2008).
3. Associate Member: International Center of Theoretical Physics, Italy (2005-2011).
4. 2021年和2022年国家自然科学基金会评专家.
部分学术论文:
[34] Jian Huaiyu, Wang Xianduo, Sharp boundary regularity for some degenerate-singular Monge-Ampère equations on K-convex domain, J. Differential Equations, 382(2024), 97-114.
[33] Zhu Yongxing, Bao Weizhu, Jian Huaiyu, A Quantized vortex dynamics of nonlinear Schrodinger equations on torus with non-vanishing momentum, Physica D,
453(2023), 133812.
[32] Jian Huaiyu, Tu Xushan, Liouville theorem for Neumann problem of Monge-Ampère equation. J. Funct. Anal., 284 (2023) 109817, 1–52.
[31] Jian Huaiyu, Wang Xianduo, Generalized Liouville theorem for viscous solutions to a singular Monge-Ampère equation. Advance in Nonlinear Anal., 12(2023): 20220284, 1–11.
[30] Jian Huaiyu, Lu Jian, Wang Xu-Jia, Boundary expansion of solutions to nonlinear singular elliptic equations. Science China Math., 65 (2022), no.1, 9-30.
[29] Jian Huaiyu, Li You, Global regularity for minimal graphs in hyperbolic space. J. Differential Equations, 271 (2021), 963-978.
[28] Jian Huaiyu, Lu Jian, Existence of solutions to the Orlicz-Minkowski problem. Adv. Math., 344 (2019), 262–288.
[27] Jian Huaiyu, Li You, Optimal boundary regularity for a singular Monge- Ampère equation. J. Differential Equations , 264 (2018), no. 11, 6873–6890.
[26] Jian Huaiyu, Lu Jian, Wang Xu-Jia, A priori estimates and existence of solutions to the prescribed centroaffine curvature problem. J. Funct. Anal. 274 (2018), no. 3, 826–862.
[25] Jian Huaiyu, Wang Xu-Jia, Zhao Yuwen, Global smoothness for a singular Monge-Ampère equation. J. Differential Equations, 263 (2017), no. 11, 7250–7262
[24] Jian Huaiyu, Lu Jian, Zhu Guangxian, Mirror symmetric solutions to the centro-
affine Minkowski problem. Calc.Var.Partial Differential Equations, 55 (2016), no. 2, Art. 41, 22 pp.
[23] Lu Jian, Jian Huaiyu, Topological degree method for the rotationally symmetric Lp-Minkowski problem. Discrete Contin. Dyn. Syst., 36 (2016), no.2, 971–980.
[22] Jian Huaiyu, Lu Jian, Wang Xu-Jia, Nonuniqueness of solutions to the Lp-Minkowski problem. Adv. Math., 281 (2015), 845–856.
[21]Jian Huaiyu, Wang Xu-Jia, Optimal boundary regularity for nonlinear singular elliptic equations. Adv. Math., 251(2014), 111-126.
[20] Jian Huaiyu, Wang Xu-Jia, Entire solutions of Monge- Ampère equation and translating solutions to Gauss curvature flow. American J. Math., 136 (2014), no.4, 1093-1106.
[19] Bao Weizhu, Jian Huaiyu, Norbert J., Zhang Yong, Dimension reduction of the Schrodinger equation with Coulomb and anisotropic confining potentials. SIAM J. Appl. Math., 73(2013) no.6, 2100-2123.
[18] Jian Huaiyu, Wang Xu-Jia, Bernstein theorem and regularity for a class of Monge-Ampère equation. J. Differential Geometry, 93(2013), 431-469.
[17] Jian Huaiyu, Ju Hongjie, Existence of Translating solutions to the flow by the powers of mean curvature on unbounded domains. J. Differential Equations, 250 (2011), 3957-3987.
[16] Ju Hongjie, Lu Jian, Jian Huaiyu, Translating solutions to mean curvature flow with a forcing term in Minkowski Space. Comm. Pure Appl. Anal., 9 (2010), 963-973.
[15] Gui Changfeng, Jian Huaiyu, Ju Hongjie, Properties of translating solutions to mean curvature flow. Discrete and Continuous Dynamical Systems, 28 (2010) no.2, 441-453.
[14] Liu Yannan, Jian Huaiyu, Evolution of spacelike hypersurfaces by mean curvature minus external force field in Minkowski space. Advanced Nonlinear Studies, 9 (2009), 513- 522.
[13] Chen Xiuqing, Chen Li, Jian Huaiyu, Existence, Semiclassical Limit and Long-time Behavior of Weak Solution to Quantum Drift-diffusion Model. Nonlinear Analysis, Real World Application, 20 (2009), 1321-1342.
[12] Jian Huaiyu, Liu Yannan, Long-time existence of mean curvature flow with external force field. Pacific J. Math., 234 (2008), 311-324.
[11] Jian Huaiyu, Wang Xu-Jia, Continuity estimates for the Monge-Ampère equation. SIAM J. Math. Anal., 39 (2007), 608-626.
[10] Jian Huaiyu, Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space. J. Differential Equations, 220 (2006), 147-162.
[9] Guan Bo, Jian Huaiyu, Schoen R., Entire spacelike convex hypersurfaces of constant Gauss curvature in Minkowski space. J. Reine Angew. Math., 595 (2006), 167-188.
[8] Jian Huaiyu, Hessian equations with Infinite Dirichlet Boundary Value. Indiana Univ. Math. J., 55 (2006), 1045-1062.
[7] Guan Bo, Jian Huaiyu, The Monge-Ampère equation with infinite boundary value. Pacific J. Math., 216 (2004), 77-84.
[6] Jian Huaiyu, Song Bingheng, The Vortex dynamics of a Ginzburg-Landau system in inhomogeneous supperconductors. J. Differential Equations, 170 (2001), 123-141.
[5] Jian Huaiyu, On the homogenization of degenerate parabolic equations. Acta Math Appl. Sinica. New Ser., 16 (2000) no.1, 100-110.
[4] Jian Huaiyu, Wang Xiaoping, Hsiech D. Y., The global attractor of a dissipative nonlinear system. J. Math. Anal. Appl., 238 (1999), 124-142.
[3] Jian Huaiyu, Deforming convex hypersurfaces to the hypersurfaces with prescribed harmonic mean curvature. Sci. China Ser. A, 42 (1999) no.10, 1059-1066.
[2] Hsiao L., Jian Huaiyu, On the asymptotic behavior of initial boundary value problems in one-dimensional nonlinear thermoviscoelasticity. Chinese Math. Ann. (Ser B),18 (1998) no.2, 143-152.
[1] Hsiao L., Jian Huaiyu, Global smooth solutions to the spatially periodic Cauchy problem for dissipative nonlinear evolution equations. J. Math. Anal. Appl., 213 (1997), 262-274.