Last Update: 13:08 - Friday - October 11th 2019.

Next Seminar of 2019.2

Analysis of a non-isothermal model for two viscous incompressible fluids

Gabriela Planas

In this talk, we consider a non-isothermal diffuse-interface model which describes the motion of a mixture of two viscous incompressible fluids. The model consists of modified Navier-Stokes equations coupled with a phase-field equation given by a convective Allen-Cahn equation, and energy transport equation for the temperature. This model admits a dissipative energy inequality. It is investigated the well-posedness of the problem in the two and three-dimensional cases without any restriction on the size of the initial data. Moreover, regular and singular potentials for the phase-field equation are considered.

Room: Auditório Airton Silva - Math. Dept.       Date: Wednesday - November 27th, 2019       Time: 14:00 to 15:00

Calendar for 2019.2

The lectures of the SED take place usually on Tuesdays from 15:30 to 16:30 at Auditório Airton Silva of the Maths Department building at UFSC.

Date Lecturer Institute Title
13/aug Francis Felix Cordova Puma UFSC - Blumenau On the stability of mixtures with variable coefficients
27/aug Edson Cilos Vargas Júnior UFSC A new approach to $\sigma-$evolution models with low regular time dependent coefficients
17/sep Eleomar Cardoso Júnior UFSC - Blumenau On the ill-posedness of the 5th-order Gardner equation
01/oct Ruy Coimbra Charão UFSC Existence and asymptotic properties to a generalized second order dissipative equation
15/oct Juan Carlos Torres Espinoza UFSC Propriedades Assintóticas para uma Equação de Onda Sob Efeito de Super Damping
29/oct Edson Cilos Vargas Júnior UFSC On the asymptotic behaviour of second order evolution equation
27/nov Gabriela Planas IMEEC-UNICAMP Analysis of a non-isothermal model for two viscous incompressible fluids

About the Seminars

The SED is composed by bi-weekly lectures, presented by researches on the fields of Differential Equations and Nonlinear Dynamical Systems, and its goal is to inform researchers and Math graduate students about the recent research developments on these areas.

Graduate Department

Head Chief: Prof. Marcelo Sobottka
E-mail: marcelo.sobottka at
Assistant: Elisa Barbosa Amaral
E-mail: elisa.amaral at
Assistant: Érica Flores
E-mail: erica.flores at

Current Coordinator

Prof. Miguel Ángel Alejo Plana
E-mail: miguel.alejo at
Home: miguelalejo
Phone: +55 (48) 3721-5652

Past Editions