10 citations · 13 across the 6 of their papers we have counts for
6 papers
Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid
Christina Lienstromberg, Tania Pernas-Castaño, Juan J. L. Velázquez
We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immisci…
On the dynamics of thin layers of viscous flows inside another viscous fluid
Tania Pernas-Castaño, Juan J. L. Velázquez
In this work we will study the dynamics of a thin layer of a viscous fluid which is embedded in the interior of another viscous fluid. The resulting flow can be approximated by mea…
Analysis of a thin film approximation for two-fluid Taylord-Couette flows
Tania Pernas-Castaño, Juan J. L. Velázquez
In this work we study the evolution of the interface between two different fluids in two concentric cylinders when the velocity is given by the Navier-Stokes equation and one of th…
Local-existence for the Inhomogeneous Muskat problem
Tania Pernas-Castaño
In this work we study the evolution of the interface between two different fluids in a porous media with two different permeabilities. We prove local existence in Sobolev spaces, w…
Non-splat singularity for the one-phase Muskat problem
Diego Córdoba, Tania Pernas-Castaño
For the water waves equations, the existence of splat singularities has been shown in [3], i.e., the interface self-intersects along an arc in finite time. The aim of this paper is…
Variational approach to second-order impulsive dynamic equations on time scales
Victoria Otero-Espinar, Tania Pernas-Castaño
The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to nonlinear impulsive dynamic equation…