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Asymptotic analysis for 1D compressible Navier–Stokes–Vlasov equations with local alignment force.
- Source :
-
Journal of Mathematical Physics . Feb2023, Vol. 64 Issue 2, p1-23. 23p. - Publication Year :
- 2023
-
Abstract
- We consider the initial-boundary value problem of compressible Navier–Stokes–Vlasov equations under a local alignment regime in a one-dimensional bounded domain. Based on the relative entropy method and compactness argument, we prove that a weak solution of the initial-boundary value problem converges to a strong solution of the limiting two-phase fluid system. This work extends in some sense the previous work of Choi and Jung [Math. Models Methods Appl. Sci. 31(11), 2213–2295 (2021)], which considered the diffusive term ∂ξξfɛ in the kinetic equation. Note that the diffusion term was not considered in this paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*MATHEMATICS
*ENTROPY
*ARGUMENT
*FLUIDS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 64
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162170713
- Full Text :
- https://doi.org/10.1063/5.0095440