Strong solutions to the inhomogeneous Navier–Stokes–BGK system. (February 2021)

• Record Type: Journal Article
• Authors: Choi, Young-Pil; Lee, Jaeseung; Yun, Seok-Bae
• Is Part Of: Nonlinear analysis. Volume 57(2021)
• Publication Date: 2021-02
• Subjects: Fluid-kinetic model -- BGK model -- Inhomogeneous Navier–Stokes equations -- Spray models -- Global existence -- Strong solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103196
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we are concerned with the local-in-time well-posedness of a fluid-kinetic model in which the BGK model with density dependent collision frequency is coupled with the inhomogeneous Navier–Stokes equation through drag forces. To the best knowledge of authors, this is the first result on the existence of local-in-time smooth solution for particle–fluid model with nonlinear inter-particle operator for which the existence of time can be prolonged as the size of initial data gets smaller.