Existence of global weak solutions for a 3D Navier–Stokes–Poisson–Korteweg equations. Issue 4 (12th March 2018)

• Record Type: Journal Article
• Authors: Yang, Jianwei; Wang, Zhengyan; Ding, Fengxia
• Is Part Of: Applicable analysis. Volume 97:Issue 4(2018)
• Page Start: 528
• Page End: 537
• Publication Date: 2018-03-12
• Subjects: Navier–Stokes–Poisson–Korteweg equations -- global weak solutions -- cold pressure -- degenerate viscosity; 35G25 -- 35Q30 -- 35Q40 -- 35B40 -- 76Y05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1276172
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : The purpose of this work is to study the global-in-time existence of weak solutions of a viscous capillary model of plasma expressed as a so-called Navier–Stokes–Poisson–Korteweg model for large data in three-dimensional space. Using the compactness argument, we prove the existence of global weak solutions in the classical sense to such system with a cold pressure.