Weak solutions to the 3D steady flow of a compressible reactive mixture. (21st November 2017)

• Record Type: Journal Article
• Authors: Guo, Boling; Xie, Binqiang; Xi, Xiaoyu
• Is Part Of: Nonlinearity. Volume 31:Number 1(2018:Jan.)
• Page Start: 30
• Page End: 48
• Publication Date: 2017-11-21
• Subjects: weak solutions -- chemically reacting gas -- steady fluids; 76W05 -- 35Q35 -- 35D05 -- 76X05; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/aa91f3
• Languages: English
• ISSNs: 0951-7715

Abstract

Abstract: The existence of weak solutions to the steady compressible, multicomponent, chemically reacting gas is established without any restriction on the size of the data in the bounded 3D domain with slip boundary conditions. We extend the result in Zatorska (2011 Nonlinearity 24 3267–78) for the adiabatic ratio γ > 7 3 to γ > 2 . Our proof relies upon the weighted estimates of pressure and kinetic energy.