个人简介
边慎,北京化工大学数理学院副教授、硕士生导师、德国洪堡基金获得者。 教育经历: 2011.9-2012.10 美国杜克大学 联合培养博士 导师:刘建国教授 2009.9-2013.12 清华大学(保送直博) 博士 导师:陈丽教授、章梅荣教授 2005.9-2009.7 中国石油大学(华东) 本科 工作经历: 2018.1-至今 北京化工大学 副教授 2017.6-2018.2 德国曼海姆大学 洪堡访问学者 2014.5-2017.12 北京化工大学 讲师 2014.1-2014.3 中国海洋大学 讲师 研究领域: 生物数学中的非线性偏微分方程,包括生物趋化模型、种群动力学模型、自适应进化模型等。 科研论文: [1] S. Bian, On the Keller-Segel model with the intermediate exponent, accepted by Indiana University Mathematical Journal, 2025. [2] S. Bian, J.L. Bu, On selection dynamics for a nonlocal phenotype-structured model, C. R. Math. Acad. Sci. Paris, 2025, 363: 13-27. [3] S. Bian, The aggregation-diffusion equation with energy critical exponent, Discrete and Continuous Dynamical Systems-B, 2024, 29(3): 1128-1145. [4] S. Bian, On the Fisher-KPP model with non-local nonlinear sources, Mathematische Nachrichten, 2024, 297(1): 144-164. [5] S. Bian, Q. Wang and J. Li, Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms, Nonlinearity, 2023, 36: 5568-5608. [6] S. Bian, L. Chen and E.A. Latos, Chemotaxis model with non-local reaction in the whole space, Discrete and Continuous Dynamical Systems, 2018, 38(10): 5067- 5083. [7] S. Bian, L. Chen and E.A. Latos, Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system, Nonlinear Analysis-TMA, 2018, 176: 178-191. [8] S. Bian, L. Chen and E.A. Latos, Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem, Nonlinear Analysis-TMA, 2017, 149: 165-176. [9] S. Bian, L. Chen, A non-local reaction diffusion equation and its relation with Fujita exponent, Journal of Mathematical Analysis and Applications, 2016, 444: 1479-1489. [10] S. Bian, Global solutions to a nonlocal Fisher-KPP type problem, Acta Applicandae Mathematicae, 2016, 146: 1-9. [11] S. Bian, A note on the free energy of the Keller-Segel model for subcritical and supercritical cases, Nonlinear Analysis-TMA, 2015, 125: 406-422. [12] S. Bian, J.-G. Liu, C. Zou, Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d, Kinetic and Related models, 2014, 7: 9-28. [13] S. Bian, J.-G. Liu, Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m>0, Communications in Mathematical Physics, 2013, 323: 1017-1070. [14] S. Bian, L. Chen and M. Dreher, Boundary layer analysis in the semi-classical limit of a quantum drift-diffusion model, Journal of Differential Equations, 2012, 253: 356-377.
研究领域
生物数学中的非线性偏微分方程,包括生物趋化模型、种群动力学模型、自适应进化模型等。
本科生
课程名称 |
开课学年 |
课程总学时 |
选课人数 |
课程性质 |
线性代数A |
2023 |
56 |
153 |
公共基础必修 |
常微分方程 |
2023 |
64 |
128 |
专业必修 |
线性代数B |
2023 |
48 |
120 |
公共基础必修 |
常微分方程 |
2022 |
64 |
186 |
专业必修 |
线性代数A |
2022 |
56 |
144 |
公共基础必修 |
线性代数B |
2022 |
48 |
100 |
公共基础必修 |
线性代数B |
2021 |
48 |
108 |
公共基础必修 |
线性代数A |
2021 |
56 |
142 |
公共基础必修 |
常微分方程 |
2021 |
64 |
139 |
专业必修 |
线性代数B |
2020 |
48 |
162 |
公共基础必修 |
常微分方程 |
2020 |
64 |
122 |
专业必修 |
线性代数B |
2019 |
48 |
140 |
公共基础必修 |
常微分方程 |
2019 |
64 |
136 |
专业必修 |
线性代数B |
2019 |
48 |
138 |
公共基础必修 |
研究生
课程名称 |
开课学年 |
总学时 |
开课方式 |
微分方程数值解 |
2024 |
64 |
D专业选修课 |
微分方程数值解 |
2023 |
64 |
D专业选修课 |
微分方程数值解 |
2022 |
64 |
D专业选修课 |
微分方程数值解 |
2021 |
64 |
D专业选修课 |
微分方程数值解 |
2020 |
64 |
D专业选修课 |
微分方程数值解 |
2019 |
64 |
D专业选修课 |
微分方程数值解 |
2018 |
64 |
D专业选修课 |
微分方程数值解 |
2017 |
64 |
D专业选修课 |
纵向项目
- 1. 具非局部效应反应扩散方程解的动力学行为 ,国家自然科学基金项目,项目时间:2022-01-01 至 2025-12-31
论文信息
[+][-]代表性论文
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2030年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2029年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2028年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2027年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2026年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2025年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2024年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]
2023年
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
[+][-]2023年之前
-
1. DOI
边慎,王权,李静
Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms[期刊论文],Nonlinearity,2023-09-14
-
2. DOI
边慎,Chen, Li,Latos, Evangelos A.
Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2018-11-01
-
3. DOI
边慎,Chen, Li,Latos, Evangelos A.
CHEMOTAXIS MODEL WITH NONLOCAL NONLINEAR REACTION IN THE WHOLE SPACE[期刊论文],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2018-10-01
-
4. DOI
边慎,Chen,Li,Latos,EvangelosA.
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2017-01-01
-
5. DOI
边慎
Global Solutions to a Nonlocal Fisher-KPP Type Problem[期刊论文],Acta Applicandae Mathematicae,2016-09-21
-
6. DOI
边慎,Chen, Li
A nonlocal reaction diffusion equation and its relation with Fujita exponent[期刊论文],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016-07-26
-
7. DOI
边慎
A note on the free energy of the Keller-Segel model for subcritical and supercritical cases[期刊论文],NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2015-06-19
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