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EXISTENCE OF SOLUTIONS FOR A NON-ISOTHERMAL NAVIER-STOKES-ALLEN-CAHN SYSTEM WITH THERMO-INDUCED COEFFICIENTS

Autor(es):
Lopes, Juliana Honda ; Planas, Gabriela
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Electronic Journal of Differential Equations; v. 2022, n. 72, p. 22-pg., 2022-10-25.
Resumo

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 sys-tem 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 mathemat-ical difficulties that only allows working in two dimensions. (AU)

Processo FAPESP: 20/14206-3 - Existência de soluções fracas para um modelo de Navier-Stokes célula-fluido com quimiotaxia
Beneficiário:Juliana Honda Lopes
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 19/02512-5 - Sistemas e equações diferenciais parciais
Beneficiário:Marcelo da Silva Montenegro
Modalidade de apoio: Auxílio à Pesquisa - Temático