Next Seminar of 2019.2

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

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 27^th, 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 5^th-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