薛留堂

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办公地点：后主楼1131

职称：教授

学科：基础数学

同专业博导同专业硕导

个人简介
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薛留堂，理学博士，教授，博士生导师。2012年于中国工程物理研究院研究生部获得博士学位。2012年9月至2013年8月在法国巴黎东部大学做博士后研究。2013年9月起在北京师范大学工作。2022年7月被聘为教授。主要从事偏微分方程理论方面的研究，尤其是流体力学方程的数学理论的研究。现主持一项国家自然科学基金面上项目。

教育背景
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1
2009.09 - 2012.07

中国工程物理研究院研究生部一应用数学一博士一理学博士学位
2
2006.09 - 2009.07

中国工程物理研究院研究生部一基础数学一硕士一硕士
3
2002.09 - 2006.07

郑州大学一数学与应用数学一大学毕业一学士

教育教学
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授课信息（近三年）

奇异积分算子, 春学期, 2025-2026, 研究生课程
分析学高级研讨课, 秋学期, 2025-2026, 研究生课程
偏微分方程, 秋学期, 2025-2026, 本科生课程
非线性色散波方程, 秋学期, 2024-2025, 研究生课程
偏微分方程, 秋学期, 2024-2025, 本科生课程
偏微分方程高级研讨课, 春学期, 2024-2025, 研究生课程
复变函数, 春学期, 2024-2025, 本科生课程

学生信息

博士

何潇
杨佳坤

硕士

郑志大
阳德宇
郑凯
白晨

科学研究
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论文成果

[1]Lazar, Omar; Xue, Liutang; Yang, Jiakun| Global regularity and infinite Prandtl number limit of temperature patches for the 2D Boussinesq system, MATHEMATISCHE ANNALEN, 2025
[2]Li, Yatao; Miao, Qianyun; Tan, Changhui; Xue, Liutang| Global Well-Posedness and Refined Regularity Criterion for the Uni-Directional Euler-Alignment System, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024
[3]Bai, Xiang; Tan, Changhui; Xue, Liutang| Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure<i> </i>, JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 407 :269-310
[4]Bai, Xiang; Miao, Qianyun; Tan, Changhui; Xue, Liutang| Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment, NONLINEARITY, 2024, 37 (2)
[5]Lazar, Omar; Li, Y. atao; Xue, Liutang| On the Regularity of Temperature Fronts for the 3D Viscous Boussinesq System, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2024, 73 (3) :1005-1060
[6]Hmidi, Taoufik; Xue, Liutang; Xue, Zhilong| Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc, JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (10)
[7]Li, Yatao; Miao, Qianyun; Xue, Liutang| Global well-posedness for 2D fractional inhomogeneous Navier-Stokes equations with rough density, NONLINEARITY, 2023, 36 (7) :3866-3908
[8]Mucha, Piotr B.; Xue, Liutang| Boussinesq system with measure forcing, MATHEMATISCHE ANNALEN, 2022, 382 (3-4)
[9]Chae, Dongho;Miao, Qianyun;Xue, Liutang| GLOBAL REGULARITY OF NONDIFFUSIVE TEMPERATURE FRONTS FOR THE TWO-DIMENSIONAL VISCOUS BOUSSINESQ SYSTEM, SIAM Journal on Mathematical Analysis, 2022, 54 (4)
[10]Miao, Qianyun; Tan, Changhui; Xue, Liutang| Global regularity for a 1D Euler-alignment system with misalignment, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021, 31 (03) :473-524
[11]Lazar,Omar; Xue,Liutang| Regularity results for a class of generalized surface quasi-geostrophic equations, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 130 :200-250
[12]Mucha,Piotr B.; Xue,Liutang; Zheng,Xiaoxin| Between homogeneous and inhomogeneous Navier-Stokes systems: The issue of stability, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (1) :307-363
[13]Miao, Changxing; Xue, Liutang| ON THE REGULARITY ISSUES OF A CLASS OF DRIFT-DIFFUSION EQUATIONS WITH NONLOCAL DIFFUSION, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (4) :2927-2970
[14]Miao, Qianyun; Xue, Liutang| REGULARITY AND SINGULARITY RESULTS FOR THE DISSIPATIVE WHITHAM EQUATION AND RELATED SURFACE WAVE EQUATIONS, COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 17 (8) :2141-2190
[15]Miao,Qianyun; Xue,Liutang| On the Holder regularity of the weak solution to a drift-diffusion system with pressure, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (6)
[16]Xue,Liutang; Ye,Zhuan| ON THE DIFFERENTIABILITY ISSUE OF THE DRIFT-DIFFUSION EQUATION WITH NONLOCAL LEVY-TYPE DIFFUSION, PACIFIC JOURNAL OF MATHEMATICS, 2018, 293 (2) :471-510
[17]Ye,Zhuan; Xu,Xiaojing; Xue,Liutang| On the global regularity of the 2D Boussinesq equations with fractional dissipation, MATHEMATISCHE NACHRICHTEN, 2017, 290 (8-9) :1420-1439
[18]Xue,Liutang| On the locally self-similar solution of the surface quasi-geostrophic equation with decaying or non-decaying profiles, JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (10) :5590-5608
[19]Wu,Jiahong; Xu,Xiaojing; Xue,Liutang; Ye,Zhuan| REGULARITY RESULTS FOR THE 2D BOUSSINESQ EQUATIONS WITH CRITICAL OR SUPERCRITICAL DISSIPATION, COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2016, 14 (7) :1963-1997
[20]Xue,Liutang| On the locally self-similar singular solutions for the incompressible Euler equations, DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2015, 12 (4) :321-342
[21]Xue,Liutang| On the discretely self-similar solutions for the 3D Navier-Stokes equations, NONLINEARITY, 2015, 28 (10) :3695-3708
[22]Xu,Xiaojing; Xue,Liutang| Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation, JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (9) :3179-3207

科研项目

1、流体力学方程的补丁问题和连续模方法的若干研究, 2022
2、一些流体动力学方程的整体适定性与有限时刻爆破问题的研究, 2017
3、流体动力学中的一些简单模型的数学研究, 2014-2017
4、流体动力学中的主动标量与自相似奇性的研究, 2014