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 | |
| Publication status | Published - 2021 Feb |
Bibliographical note
Funding Information:The authors would like to thank the anonymous reviewers for the invaluable comments and advice. Young-Pil Choi was supported by National Research Foundation of Korea (NRF), South Korea grant funded by the Korea government (MSIP) (Nos. 2017R1C1B2012918 and 2017R1A4A1014735) and POSCO Science Fellowship of POSCO TJ Park Foundation. Seok-Bae Yun is supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1801-02.
Funding Information:
The authors would like to thank the anonymous reviewers for the invaluable comments and advice. Young-Pil Choi was supported by National Research Foundation of Korea (NRF), South Korea grant funded by the Korea government (MSIP) (Nos. 2017R1C1B2012918 and 2017R1A4A1014735 ) and POSCO Science Fellowship of POSCO TJ Park Foundation . Seok-Bae Yun is supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1801-02 .
Publisher Copyright:
© 2020 Elsevier Ltd
All Science Journal Classification (ASJC) codes
- Analysis
- Engineering(all)
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics