Work

Global well-posedness of strong solution to the kinetic Cucker-Smale model with external potential field

Year: 2025

Type: article

Abstract: In this paper, we studied the initial problem of the kinetic Cucker-Smale model with noise, driven by pairwise alignment interactions under the influence of external potential field. Without the general compact support or smallness assumption on the initial datum, we established the global existence of strong solution. The proof was based on weighted energy estimates.

Source: Networks and Heterogeneous Media

DOI: 10.3934/nhm.2025021

Authors: Linglong Du, Anqi Du, Zhengyan Luo

Institution: Donghua University

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Natural Science Foundation of Shanghai, National Natural Science Foundation of China, Shanghai Municipal Education Commission

Awards: G2396623281, G7155337777