Detailed Information on Publication Record
2013
Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
CREMASCHINI, Claudio and Massimo TESSAROTTOBasic information
Original name
Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
Name (in English)
Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
Authors
CREMASCHINI, Claudio and Massimo TESSAROTTO
Edition
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, NL - Nizozemsko, 2013, 0378-4371
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10300 1.3 Physical sciences
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Organization unit
Institute of physics in Opava
UT WoS
000321726800012
Keywords in English
Navier-Stokes equations; Dynamical systems; Kinetic theory; Existence theorem
Tags
Tags
International impact, Reviewed
Změněno: 29/3/2021 10:14, Mgr. Pavlína Jalůvková
Abstract
V originále
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.