Publications (41)
Corrugation instabilities of the Riemann problem in relativistic hydrodynamics
Patryk Mach
Estimating masses of Keplerian disk systems: the case of AGN in NGC 4258
Patryk Mach, Michal Pirog, Edward Malec
General-relativistic rotation laws in rotating fluid bodies: constant linear velocity
Jerzy Knopik, Patryk Mach, Edward Malec
Universality and backreaction in a general-relativistic accretion of steady fluids
Janusz Karkowski, Bogusz Kinasiewicz, Patryk Mach +2
Homoclinic accretion solutions in the Schwarzschild-anti-de Sitter spacetime
Patryk Mach
All solutions of the n = 5 Lane-Emden equation
Patryk Mach
Michel accretion of a polytropic fluid with adiabatic index gamma > 5/3: Global flows versus homoclinic orbits
Eliana Chaverra, Patryk Mach, Olivier Sarbach
Construction of vacuum initial data by the conformally covariant split system
Patryk Mach, Yaohua Wang, Naqing Xie
Rotating Bowen-York initial data with a positive cosmological constant
Patryk Mach, Jerzy Knopik
The shape of a rapidly rotating polytrope with index unity
Jerzy Knopik, Patryk Mach, Andrzej Odrzywolek
Lane-Emden stars, selfgravitating disks and the Sobolev inequality
Patryk Mach, Edward Malec
Exact solution of the hydrodynamical Riemann problem with nonzero tangential velocities and the ultrarelativistic equation of state
Patryk Mach, Malgorzata Pietka
Virial tests for post-Newtonian stationary black-hole-disk systems
Piotr Jaranowski, Patryk Mach, Edward Malec +1
Accretion and Structure of Radiating Disks
Patryk Mach, Edward Malec
Planar domain walls in black hole spacetimes
Filip Ficek, Patryk Mach
Toroidal trapped surfaces and isoperimetric inequalities
Janusz Karkowski, Patryk Mach, Edward Malec +2
Global dynamics of a Yang-Mills field on an asymptotically hyperbolic space
Piotr BizoÅ, Patryk Mach
Virial theorem for radiating accretion discs
Patryk Mach
Selfgravitation in a general-relativistic accretion of steady fluids
Bogusz Kinasiewicz, Patryk Mach, Edward Malec
Modelling general-relativistic disk in OJ 287
Wojciech Dyba, Patryk Mach, Edward Malec
General-relativistic rotation laws in rotating fluid bodies, new weak-field effects and the post-newtonian expansion
Patryk Mach, Edward Malec, Michal Pirog
General-relativistic rotation laws in rotating fluid bodies
Patryk Mach, Edward Malec
Self-gravitating Newtonian disks revisited
Patryk Mach, Edward Malec, Walter Simon
Two mass conjectures on axially symmetric black hole--disk systems
Wojciech Kulczycki, Patryk Mach, Edward Malec
On the stability of self-gravitating accreting flows
Patryk Mach, Edward Malec
Toroidal marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities
Patryk Mach, Naqing Xie
On the stability of steady general-relativistic accretion and analogue black holes
Patryk Mach
(In)finite extent of stationary perfect fluids in Newtonian theory
Patryk Mach, Walter Simon
Relativistic Low Angular Momentum Accretion: Long Time Evolution of Hydrodynamical Inviscid Flows
Patryk Mach, MichaŠPiróg, José A. Font
General-relativistic versus Newtonian: geometric dragging and dynamic anti-dragging in stationary disks in the first post-Newtonian approximation
Piotr Jaranowski, Patryk Mach, Edward Malec +1
Self-gravitating magnetised tori around black holes in general relativity
Patryk Mach, Sergio Gimeno-Soler, Jose A. Font +2
Self-gravitating axially symmetric disks in general-relativistic rotation
Janusz Karkowski, Wojciech Kulczycki, Patryk Mach +3
On the propagation of non stationary pressure waves in stellar interiors
Patryk Mach
Analytic solutions of the Riemann problem in relativistic hydrodynamics and their numerical applications
Patryk Mach
Spherical steady accretion flows -- dependence on the cosmological constant, exact isothermal solutions and applications to cosmology
Patryk Mach, Edward Malec, Janusz Karkowski
From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics
Bogusz Kinasiewicz, Patryk Mach
Spherically symmetric Riemannian manifolds of constant scalar curvature and their conformally flat representations
Patryk Mach, Niall à Murchadha
General-relativistic rotation: self-gravitating fluid tori in motion around black holes
Janusz Karkowski, Wojciech Kulczycki, Patryk Mach +3
Stability of relativistic Bondi accretion in Schwarzschild-(anti-)de Sitter spacetimes
Patryk Mach, Edward Malec
Rotating systems, universal features in dragging and anti-dragging effects, and bounds onto angular momentum
Janusz Karkowski, Patryk Mach, Edward Malec +2
General relativistic accretion with backreaction
Janusz Karkowski, Bogusz Kinasiewicz, Patryk Mach +2