3 citations · 7 across the 8 of their papers we have counts for
9 papers
Staggering domino-like blast front motion in a one-dimensional cold gas
Taras Holovatch, Yuri Kozitsky, Krzysztof Pilorz +1
One-dimensional alternating particle systems are widely used to study interconnections between the hydrodynamics of blast waves in a gas-like medium and the Newtonian dynamics of i…
Breakdown of hydrodynamics in a one-dimensional cold gas
Taras Holovatch, Yuri Kozitsky, Krzysztof Pilorz +1
The following model is studied analytically and numerically: point particles with masses () are distributed over the positive half-axis. Their dynamics is in…
Effective and asymptotic scaling in a one-dimensional billiard problem
T. Holovatch, Yu. Kozitsky, K. Pilorz +1
The emergence of power laws that govern the large-time dynamics of a one-dimensional billiard of point particles is analysed. In the initial state, the resting particles are pl…
On the Statistical Mechanics of Large Populations
Yuri Kozitsky, Krzysztof Pilorz
There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interc…
Algorithm for numerical solutions to the kinetic equation of a spatial population dynamics model with coalescence and repulsive jumps
Igor Omelyan, Yuri Kozitsky, Krzysztof Pilorz
An algorithm is proposed for finding numerical solutions of a kinetic equation that describes an infinite system of point articles placed in . The particle…
Jumps and Coalescence in the Continuum: a Numerical Study
Kozitsky Yuri, Omelyan Igor, Pilorz Krzysztof
The dynamics is studied of an infinite continuum system of jumping and coalescing point particles. In the course of jumps, the particles repel each other whereas their coalescence…
Modeling tumor growth: a simple individual-based model and its analysis
Yuri Kozitsky, Krzysztof Pilorz
Initiation and development of a malignant tumor is a complex phenomenon that has critical stages determining its long time behavior. This phenomenon is mathematically described by…
Random jumps and coalescence in the continuum: evolution of states of an infinite system
Yuri Kozitsky, Krzysztof Pilorz
The dynamics of an infinite continuum system of randomly jumping and coalescing point particles is studied. The states of the system are probability measures on the corresponding c…
A kinetic equation for repulsive coalescing random jumps in continuum
Krzysztof Pilorz
A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtai…