Keywords and phrases: singular perturbation, two-phase flow, asymptotic expansions.
Received: April 17, 2022; Revised: May 30, 2022; Accepted: June 20, 2022; Published: July 15, 2022
How to cite this article: Hyeonseong Jin, The limiting motion of low Mach number two-phase flow, JP Journal of Heat and Mass Transfer 28 (2022), 61-70. http://dx.doi.org/10.17654/0973576322034
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] W. Bo, H. Jin, D. Kim, X, Liu, H. Lee, N. Pestieau, Y. Yu, J. Glimm and J. Grove, Comparison and validation of multiphase closure models, Comput. Math. Appl. 56 (2008), 1291-1302. [2] Y. Chen, J. Glimm, D. H. Sharp and Q. Zhang, A two-phase flow model of the Rayleigh-Taylor mixing zone, Phys. Fluids 8(3) (1996), 816-825. [3] D. Ebin, Motion of slightly compressible fluids in a bounded domain I, Comm. Pure Appl. Math. 35 (1982), 451-485. [4] J. Glimm, H. Jin, M. Laforest, F. Tangerman and Y. Zhang, A two pressure numerical model of two fluid mixtures, SIAM J. Multiscale Modeling and Simulation 1 (2003), 458-484. [5] J. Glimm, D. Saltz and D. H. Sharp, Two-pressure two-phase flow, Nonlinear Partial Differential Equations, G.-Q. Chen, Y. Li and X. Zhu, eds., World Scientific, Singapore, 1998. [6] J. Glimm, D. Saltz and D. H. Sharp, Two-phase modeling of a fluid mixing layer, J. Fluid Mech. 378 (1999), 119-143. [7] D. Hoff, The zero-mach limit of compressible flows, Commun. Math. Phys. 192 (1998), 543-554. [8] H. Jin, The inner limit process of slightly compressible multiphase equations, Glob. J. Pure Appl. Math. 12(3) (2016), 2219-2241. [9] H. Jin, Phase transitions in the zero Mach number limit of compressible twophase flow equations, JP Journal of Heat and Mass Transfer 16(2) (2019), 351-386. [10] H. Jin and J. Glimm, Weakly compressible two-pressure two-phase flow, Acta Math. Sci. Ser. B (Engl. Ed.) 29(6) (2009), 1497-1540. [11] J. Kevorkian and J. D. Cole, Perturbation Methods in Applied Mathematics, Springer-Verlag, New York, 1985. [12] S. Klainerman and A. Majda, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34 (1981), 481-524.
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