Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow

doi:10.1007/s42967-022-00214-0

Communications on Applied Mathematics and Computation ›› 2023, Vol. 5 ›› Issue (3): 1274-1288.doi: 10.1007/s42967-022-00214-0

• ORIGINAL PAPER • 上一篇

Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow

Binbin Shi¹, Weike Wang²

1. School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China;
2. School of Mathematical Sciences, CMA-Shanghai and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China

收稿日期:2022-04-18 修回日期:2022-08-21 发布日期:2023-08-29
通讯作者: Weike Wang,E-mail:wkwang@sjtu.edu.cn E-mail:shibbing@163.com;wkwang@sjtu.edu.cn
基金资助:
The work of the first author was partially supported by Shanghai Science and Technology Innovation Action Plan (Grant No.21JC1403600). The work of the second author was partially supported by the National Natural Science Foundation of China (Grant No.11831011) and Shanghai Science and Technology Innovation Action Plan (Grant No.21JC1403600).

Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow

Binbin Shi¹, Weike Wang²

1. School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China;
2. School of Mathematical Sciences, CMA-Shanghai and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China

Received:2022-04-18 Revised:2022-08-21 Published:2023-08-29
Contact: Weike Wang,E-mail:wkwang@sjtu.edu.cn E-mail:shibbing@163.com;wkwang@sjtu.edu.cn
Supported by:
The work of the first author was partially supported by Shanghai Science and Technology Innovation Action Plan (Grant No.21JC1403600). The work of the second author was partially supported by the National Natural Science Foundation of China (Grant No.11831011) and Shanghai Science and Technology Innovation Action Plan (Grant No.21JC1403600).

摘要/Abstract

摘要： In this paper, we consider the two-dimensional aggregation equation with the shear flow and time-space nonlocal attractive operator. Without the advection, the solution of the aggregation equation may blow up in finite time. We show that the shear flow can suppress the blow-up.

关键词: Aggregation equation, Shear flow, Enhanced dissipation, Suppress the blow-up

Abstract: In this paper, we consider the two-dimensional aggregation equation with the shear flow and time-space nonlocal attractive operator. Without the advection, the solution of the aggregation equation may blow up in finite time. We show that the shear flow can suppress the blow-up.

Key words: Aggregation equation, Shear flow, Enhanced dissipation, Suppress the blow-up

中图分类号:

Binbin Shi, Weike Wang. Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow[J]. Communications on Applied Mathematics and Computation, 2023, 5(3): 1274-1288.

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Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow

Global Well-Posedness for Aggregation Equation with Time-Space Nonlocal Operator and Shear Flow

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