3 papers
math.AP2024
Time-asymptotics of a heated string
Piotr Michał Bies, Tomasz Cieślak
In the present paper, we study a model of a thermoelastic string that is initially heated. We classify all the possible asymptotic states when time tends to infinity of such a mode…
math.AP2023
Linear instability of symmetric logarithmic spiral vortex sheets
Tomasz Cieślak, Piotr Kokocki, Wojciech S. Ożański
We consider Alexander spirals with branches, that is symmetric logarithmic spiral vortex sheets. We show that such vortex sheets are linearly unstable in the (…
math.AP2023
Time-zero limits of Kaden's spirals and 2D Euler
Bartosz Bieganowski, Tomasz Cieślak, Jakub Siemianowski
The present note is devoted to the studies of the relation of the time-zero limits of Kaden's spirals and the 2D Euler equation. It is shown that the time-zero limits of Kaden's sp…