Author:
Wen Huanyao,Zhu Changjiang
Abstract
<p style="text-indent:20px;">The present paper aims to give a review of a two-fluid type model mostly on large-data solutions. Some derivations of the model arising in different physical background will be introduced. In addition, we will sketch the proof of global existence of weak solutions to the Dirichlet problem for the model in one dimension with more general pressure law which can be non-monotone, in the context of allowing unconstrained transition to single-phase flow.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
General Medicine,Applied Mathematics,Analysis
Reference63 articles.
1. J. Ballew.Low Mach number limits to the Navier-Stokes-Smoluchowski system, hyperbolic problems: theory, numerics, applications, AIMS Series on Applied Mathematics, 8 (2014), 301-308.
2. J. Ballew, K. Trivisa.Weakly dissipative solutions and weak-strong uniqueness for the Navier-Stokes-Smoluchowski system, Nonlinear Anal., 91 (2013), 1-19.
3. J. W. Barrett, Y. Lu, E. Süli.Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model, Commun. Math. Sci., 15 (2017), 1265-1323.
4. S. Berres, R. Bürger, K. H. Karlsen, E. M. Tory.Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression, SIAM J. Appl. Math., 64 (2003), 41-80.
5. D. Bresch, B. Desjardins, J. M. Ghidaglia, E. Grenier.Global weak solutions to a generic two-fluid model, Arch. Ration. Mech. Anal., 196 (2010), 599-629.
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献