Lopes, JulianaPlanas, Gabriela2023-05-152023-05-152022-10-25Lopes, 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. 1-22.1072-6691https://hdl.handle.net/10877/16796This 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.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear systemNavier-Stokes-Allen-Cahn systemNon-isothermal phase-fieldArticle