23 citations · 27 across the 10 of their papers we have counts for
4 papers · 1 filter
Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains
Amal Alphonse, Ana Djurdjevac, Emil Engström +1
Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numeric…
An evolving space framework for Oseen equations on a moving domain
Ana Djurdjevac, Carsten Gräser, Philip J. Herbert
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of th…
Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs
Amal Alphonse, Diogo Caetano, Ana Djurdjevac +1
We develop a functional framework suitable for the treatment of partial differential equations and variational problems on evolving families of Banach spaces. We propose a definiti…
Linear Parabolic Problems in Random Moving Domains
Ana Djurdjevac
We consider linear parabolic equations on a random non-cylindrical domain. Utilizing the domain mapping method, we write the problem as a partial differential equation with random…