The Cauchy problem for multiphase first-contact miscible models with viscous fingering. (February 2016)

• Record Type: Journal Article
• Authors: Lu, Yun-guang; Lu, Xue-zhou; Klingenberg, C.
• Is Part Of: Nonlinear analysis. Volume 27(2016)
• Page Start: 43
• Page End: 54
• Publication Date: 2016-02
• Subjects: Global weak solution -- First-contact miscible models -- Div–Curl lemma -- Compensated compactness; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.07.004
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, the Cauchy problem for multiphase first-contact miscible models with viscous fingering, is studied and a global weak solution is obtained by using a new technique from the Div–Curl lemma in the compensated compactness theorem. This work extends the previous works, (Juanes and Blunt, 2006; Barkve, 1989), which provided the analytical solutions and the entropy solutions respectively, of the Riemann problem, and (Lu, 2013), which provided the global solution of the Cauchy problem for the Keyfitz–Kranzer system.