3 papers
math.AP2023
Axisymmetric flows with swirl for Euler and Navier-Stokes equations
Theodoros Katsaounis, Ioanna Mousikou, Athanasios E. Tzavaras
We consider the incompressible axisymmetric Navier-Stokes equations with swirl as an idealized model for tornado-like flows. Assuming an infinite vortex line which interacts with a…
math.AP2023
Self-similar axisymmetric flows with swirl
Theodoros Katsaounis, Ioanna Mousikou, Athanasios E. Tzavaras
We consider an infinite vortex line in a fluid which interacts with a boundary surface as a simplified model for tornadoes. We study self-similar solutions for stationary axisymmet…
math.NA2022
Optimization Methods for One Dimensional Elastodynamics
Theodoros Katsaounis, Grigorios Kounadis, Ioanna Mousikou +1
We propose a new approach for solving systems of conservation laws that admit a variational formulation of the time-discretized form, and encompasses the p-system or the system of…