| CREMASCHINI, Claudio and Massimo TESSAROTTO. Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. NL - Nizozemsko, 2013, vol. 392, No 18, 7 pp. ISSN 0378-4371. Available from: https://dx.doi.org/10.1016/j.physa.2013.04.054. |
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@article{50307,
author = {Cremaschini, Claudio and Tessarotto, Massimo},
article_location = {NL - Nizozemsko},
article_number = {18},
doi = {http://dx.doi.org/10.1016/j.physa.2013.04.054},
keywords = {Navier-Stokes equations; Dynamical systems; Kinetic theory; Existence theorem},
issn = {0378-4371},
journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS},
title = {Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids},
url = {https://www.sciencedirect.com/science/article/abs/pii/S0378437113003853},
volume = {392},
year = {2013}
}
TY - JOUR
ID - 50307
AU - Cremaschini, Claudio - Tessarotto, Massimo
PY - 2013
TI - Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
JF - PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
VL - 392
IS - 18
SN - 03784371
KW - Navier-Stokes equations
KW - Dynamical systems
KW - Kinetic theory
KW - Existence theorem
UR - https://www.sciencedirect.com/science/article/abs/pii/S0378437113003853
N2 - 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.
ER -
CREMASCHINI, Claudio and Massimo TESSAROTTO. Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids. \textit{PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}. NL - Nizozemsko, 2013, vol.~392, No~18, 7 pp. ISSN~0378-4371. Available from: https://dx.doi.org/10.1016/j.physa.2013.04.054.
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