4 papers
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…
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…
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…
Nonlinear stability of two-dimensional axisymmetric vortices in compressible inviscid medium in a rotating reference frame
Olga S. Rozanova, Jui-Ling Yu, Marko K. Turzynsky +1
We study the stability of the vortex in a 2D model of continuous compressible media in a uniformly rotating reference frame. As it is known, the axisymmetric vortex in a fixed refe…