Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophyscs.
Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation
In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters.
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Numerical hydrodynamics and magnetohydrodynamics in general relativity.
Numerical simulations in astrophysics: Supernovae explosions, magnetorotational model and neutrino emission.
Numerical treatment of a time dependent inverse problem in photon transport
The time-dependent intensity of a UV-photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the forward problem, an iterative procedure is used to compute the values of the source intensity at increasing values of the time.
O použití Einsteinových rovnic v kosmologii
O průběhu Venuše před sluncem. [I.]
O průběhu Venuše před sluncem. [II.]
On a class of nonlinear integral equations arising in neutron transport.
On global smooth solutions to the 3D Vlasov–Nordström system
On Lichtenstein's analysis of rotating newtonian stars
On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion
The local-in-time existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion is proved. We show the existence of solutions with lowest possible regularity for this problem such that with r>3. The existence is proved by the method of successive approximations where the solvability of the Cauchy-Neumann problem for the Stokes system is applied. We have to underline that in the -approach the Lagrangian coordinates must be used. We are looking...
On nonlinear stability of polytropic galaxies
On resistive dissipation of Alfvén waves in an isothermal atmosphere.
On some parabolic-elliptic system with self-similar pressure term
A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.
On special optical modes and thermal issues in advanced gravitational wave interferometric detectors.
On the coronal heating mechanism by the resonant absorption of Alfvén waves.
On the linear force-free fields in bounded and unbounded three-dimensional domains
Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curlB = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.
On the mathematical structure of test relativistic magnetofluiddynamics