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

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.

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Veröffentlicht in:Communications on Applied Mathematics and Computation (Online) 2023-09, Vol.5 (3), p.1274-1288
Hauptverfasser: Shi, Binbin, Wang, Weike
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Computational Science and Engineering
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
Zusammenfassung: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.
ISSN:2096-6385
1006-6330
2661-8893
DOI:10.1007/s42967-022-00214-0