On the large-time behavior of Euler–Poisson/Navier–Stokes equations

Young Pil Choi; Jinwook Jung

doi:10.1016/j.aml.2021.107123

On the large-time behavior of Euler–Poisson/Navier–Stokes equations

Young Pil Choi, Jinwook Jung

Department of Mathematics

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

Abstract

In this paper, we study the large-time behavior of charged particles interacting with the incompressible viscous flow. More precisely, we consider the isothermal/pressureless Euler–Poisson system coupled with the incompressible Navier–Stokes system through the drag force. Under suitable assumptions on the regularity of solutions, we show the fluid velocities are aligned with each other and the fluid density converges to the background state exponentially fast as time tends to infinity.

Original language	English
Article number	107123
Journal	Applied Mathematics Letters
Volume	118
DOIs	https://doi.org/10.1016/j.aml.2021.107123
Publication status	Published - 2021 Aug

Bibliographical note

Funding Information:
The work of Y.-P. Choi is supported by NRF grant (No. 2017R1C1B2012918 ), POSCO Science Fellowship of POSCO TJ Park Foundation , and Yonsei University Research Fund of 2020-22-0505 . The work of J. Jung is supported by NRF grant (No. 2019R1A6A1A10073437 ).

Publisher Copyright:
© 2021 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/j.aml.2021.107123

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abstract = "In this paper, we study the large-time behavior of charged particles interacting with the incompressible viscous flow. More precisely, we consider the isothermal/pressureless Euler–Poisson system coupled with the incompressible Navier–Stokes system through the drag force. Under suitable assumptions on the regularity of solutions, we show the fluid velocities are aligned with each other and the fluid density converges to the background state exponentially fast as time tends to infinity.",

author = "Choi, {Young Pil} and Jinwook Jung",

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On the large-time behavior of Euler–Poisson/Navier–Stokes equations

Abstract

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