Theory of collisional invariants for the Master kinetic equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F15%3A%230005482" target="_blank" >RIV/47813059:19240/15:#0005482 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0375960115001954" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0375960115001954</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2015.02.024" target="_blank" >10.1016/j.physleta.2015.02.024</a>

Result language
angličtina
Original language name
Theory of collisional invariants for the Master kinetic equation
Original language description
The paper investigates the integral conservation properties of the Master kinetic equation, which provides an exact kinetic statistical description for the Boltzmann-Sinai classical dynamical system. It is proved that, besides the customary Boltzmann collisional invariants, this equation admits also a class of generalized collisional invariants (GCI). The result applies only when the number N and the diameter sigma of hard-spheres are finite. This includes the case of dilute gases for which suitable asymptotic ordering conditions hold. However, when the Boltzmann-Grad limit is performed on the Master kinetic equation, it is shown that the existence of GCI is not permitted anymore.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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