106 citations · 162 across the 15 of their papers we have counts for
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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…
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…
Localization in adiabatic shear flow via geometric theory of singular perturbations
Min-Gi Lee, Theodoros Katsaounis, Athanasios Tzavaras
We study localization occurring during high speed shear deformations of metals leading to the formation of shear bands. The localization instability results from the competition am…
Localization in inelastic rate dependent shearing deformations
Theodoros Katsaounis, Min-Gi Lee, Athanasios Tzavaras
Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into…
Emergence of coherent localized structures in shear deformations of temperature dependent fluids
Theodoros Katsaounis, Julien Olivier, Athanasios E. Tzavaras
Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadam…
Regularized semiclassical limits: linear flows with infinite Lyapunov exponents
Agissilaos Athanassoulis, Theodoros Katsaounis, Irene Kyza
Semiclassical asymptotics for linear Schrödinger equations with non-smooth potentials give rise to ill-posed formal semiclassical limits. These problems have attracted a lot of att…