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

##### IMECC - UNICAMP
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