M. Ruzicka

collaborators

4 papers

math.AP2026

Exact PoincarÃ© Constants in three-dimensional Annuli

Bernd Rummler, Michael Ruzicka, Gudrun ThÃ¤ter

We study 3d-annuli. In our non-dimensional setting each annulus $I^c ◯_{A}$ is defined via two concentrical balls with radii $A /2$ and $A /2 + 1$ . For these geometrie…

math.AP2026

Exact Poincare Constants in n-dimensional Annuli

Bernd Rummler, Michael Ruzicka, Gudrun ThÃ¤ter

We study $n$ -dimensional annuli for $n \in {2, \dots, N}$ with $N < \infty$ . We choose a non-dimensional setting such that for any fixed $n$ and given number $A > 0$ the…

math.AP2025

Existence of global weak solutions to a parabolic $p$ -Laplacian problem with convective term

Angelica Pia Di Feola, Michael Ruzicka

For a given bounded domain $I^c ◯ \subset R^{3}$ , with $C^{2}$ boundary, and a given instant of time $T > 0$ , we prove the existence of a global weak solution on $(0, T)$ , which satis…

math.AP2025

Natural convection in the horizontal annulus: critical Rayleigh number for the steady problem

Arianna Passerini, Bernd Rummler, Michael Ruzicka +1

For the 2D Oberbeck-Boussinesq system in an annulus we are looking for the critical Rayleigh number for which the (nonzero) basic flow loses stability. For this we consider the cor…

Exact PoincarÃ© Constants in three-dimensional Annuli

Exact Poincare Constants in n-dimensional Annuli

Existence of global weak solutions to a parabolic p-Laplacian problem with convective term

Natural convection in the horizontal annulus: critical Rayleigh number for the steady problem

Existence of global weak solutions to a parabolic $p$ -Laplacian problem with convective term