Existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients

Electronic Journal of Differential Equations

article

Juliana Honda Lopes¹  Gabriela Planas¹ 

[1] Departamento de Matemática Instituto de Matemática, Estatística e Computação Científica Universidade Estadual de Campinas Rua Sergio Buarque de Holanda 651

关键词: Nonlinear system;    Navier-Stokes-Allen-Cahn system;    non-isothermalphase-field.;   

DOI  :  10.58997/ejde.2022.72

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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.

【 授权许可】

CC BY