Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F13%3A%230004781" target="_blank" >RIV/47813059:19240/13:#0004781 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0378437113003853" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0378437113003853</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physa.2013.04.054" target="_blank" >10.1016/j.physa.2013.04.054</a>

Result language
angličtina
Original language name
Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
Original language description
The connection between fluid dynamics and classical statistical mechanics has motivated in the past mathematical investigations of the incompressible Navier-Stokes (NS) equations (INSE) by means of an asymptotic kinetic theory. This feature has suggestedthe search for possible alternative exact approaches, based on the construction of a suitable inverse kinetic theory (IKT), which can avoid the asymptotic character and the intrinsic mathematical difficulty of direct kinetic theories. In this paper thefundamental mathematical properties of the NS phase-space dynamical system underlying INSE and determined by IKT are investigated. In particular, an equivalence theorem with the INSE problem and a global existence theorem are proved to hold for the NS dynamical system.
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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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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