4 papers
Global existence of weak solutions for the Maxwell--Stefan system in the whole space
Stefanos Georgiadis
We prove the global-in-time existence of weak solutions to the isothermal Maxwell--Stefan system on the whole space . The main difficulty is that, unlike in bounded do…
Analysis of a nonisothermal Maxwell--Stefan system with degenerate thermal conductivity
Stefanos Georgiadis
We prove the global-in-time existence of weak solutions for the Maxwell--Stefan--Fourier system with physically motivated degenerate thermal conductivity , for $0<α\…
On the existence of non-negative weak solutions for fourth order equations of gradient flow type
Stefanos Georgiadis, Stefano Spirito
In this paper, we consider a family of one-dimensional fourth order evolution equations arising as gradient flows of the Korteweg energy, i.e. the -norm of the first derivativ…
Energy identity for the incompressible Cahn--Hilliard/Navier--Stokes system with non-degenerate mobility
Stefanos Georgiadis
We consider the Cahn--Hilliard/Navier--Stokes system with non-degenerate mobility in the space-periodic case, describing the flow of two viscous immiscible and incompressible Newto…