Strong solutions to the inhomogeneous Navier–Stokes–BGK system

Young Pil Choi; Jaeseung Lee; Seok Bae Yun

doi:10.1016/j.nonrwa.2020.103196

Strong solutions to the inhomogeneous Navier–Stokes–BGK system

Young Pil Choi, Jaeseung Lee, Seok Bae Yun

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Article number	103196
Journal	Nonlinear Analysis: Real World Applications
Volume	57
DOIs	https://doi.org/10.1016/j.nonrwa.2020.103196
Publication status	Published - 2021 Feb

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Analysis
General Engineering
General Economics,Econometrics and Finance
Computational Mathematics
Applied Mathematics

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title = "Strong solutions to the inhomogeneous Navier–Stokes–BGK system",

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.",

keywords = "BGK model, Fluid-kinetic model, Global existence, Inhomogeneous Navier–Stokes equations, Spray models, Strong solutions",

author = "Choi, {Young Pil} and Jaeseung Lee and Yun, {Seok Bae}",

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AU - Lee, Jaeseung

AU - Yun, Seok Bae

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Y1 - 2021/2

N2 - 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.

AB - 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.

KW - BGK model

KW - Fluid-kinetic model

KW - Global existence

KW - Inhomogeneous Navier–Stokes equations

KW - Spray models

KW - Strong solutions

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Strong solutions to the inhomogeneous Navier–Stokes–BGK system

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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