3 papers
math.AP2025
Linearization method and sharp thresholds for spherically symmetric multidimensional pressureless Euler-Poisson equations
Olga S. Rozanova, Marko K. Turzynsky
We show that the question about the criterion of a singularity formation for radially symmetric solutions to the Cauchy problem for a fairly wide class of equations related to the…
math.AP2024
Nonstrictly hyperbolic systems and their application to study of Euler-Poisson equations
Marko K. Turzynsky
We study inhomogeneous non-strictly hyperbolic systems of two equations, which are a formal generalization of the transformed one-dimensional Euler-Poisson equations. For such syst…
physics.flu-dyn2019
The stability of vortices in gas on the -plane: the influence of centrifugal force
Olga Rozanova, Marko Turzynsky
We show that a small correction due to centrifugal force usually neglected in the -plane model of atmosphere drastically influences on the stability of vortices. Namely, in the…