Global–in–time existence for liquid mixtures subject to a generalised incompressibility constraint

• Published in: Journal of mathematical analysis and applications Vol. 499; no. 2; p. 125059
• Main Author: Druet, Pierre-Etienne
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.07.2021
• Subjects: Complex fluid; Defect measure; Fluid mixture; Global weak solutions; Hard-sphere pressure law; Incompressible fluid; Low Mach-number; Mathematical analysis; Multicomponent flow; Multicomponent flow; Hard-sphere pressure law; Complex fluid; Mathematical analysis; Global weak solutions; Defect measure; Fluid mixture; Incompressible fluid; Low Mach-number

We consider a system of partial differential equations describing diffusive and convective mass transport in a fluid mixture of N>1 chemical species. A weighted sum of the partial mass densities of the chemical species is assumed to be constant, which expresses the incompressibility of the fluid,...