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On hydrodynamic limits of the Vlasov-Navier-Stokes system / Daniel Han-Kwan, David Michel.
Math/Physics/Astronomy Library QA3 .A57 no.1516
Available
- Format:
- Book
- Author/Creator:
- Han-Kwan, Daniel, author.
- Michel, David, author.
- Series:
- Memoirs of the American Mathematical Society ; volume 302, number 1516.
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Physical Description:
- v, 115 pages ; 26 cm
- Place of Publication:
- Providence : American Mathematical Society, 2024.
- Summary:
- We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system. We specifically study high friction regimes, which take into account the fact that particles of the dispersed phase are light (resp. small) compared to the fluid part, and lead to the derivation of Transport-Navier-Stokes (resp. Inhomogenous Navier-Stokes) systems.
- Contents:
- Chapter 1. Introduction
- Chapter 2. State of the art and methodology of this work
- Chapter 3. Preliminary results
- Chapter 4. The light and light and fast particle regimes
- Chapter 5. The fine particle regime
- Chapter 6. Back to the light and light and fast particle regimes
- Chapter 7. Further developments
- Appendix A. Some technical reminders
- Bibliography
- Index.
- Notes:
- Includes bibliographical references (pages 109-113) and index.
- ISBN:
- 1470470470
- 9781470470470
- OCLC:
- 1473797167
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