Existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients
Date
2022-10-25
Authors
Lopes, Juliana
Planas, Gabriela
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article aims to study the existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients. The system can be considered as a model describing the motion of a mixture of two viscous incompressible fluids with viscosity, thermal conductivity and interfacial thickness being temperature-dependent. This is a more general system than the previous ones considered in the literature, involving temperature dependence on all main coefficients. The strong non-linear couplings between those equations because of the temperature dependence brings new mathematical difficulties that only allows working in two dimensions.
Description
Keywords
Nonlinear system, Navier-Stokes-Allen-Cahn system, Non-isothermal phase-field
Citation
Lopes, J. H., & Planas, G. (2022). Existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients. <i>Electronic Journal of Differential Equations, 2022</i>(72), pp. 1-22.
Rights
Attribution 4.0 International