Treffer: Remarks on the Liouville type results for the compressible Navier―Stokes equations in ℝ
Title:
Remarks on the Liouville type results for the compressible Navier―Stokes equations in ℝ
Authors:
Source:
Nonlinearity (Bristol. Print). 25(5):1345-1349
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 6 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Condition aux limites, Boundary condition, Condiciones límites, Equation Navier Stokes, Navier Stokes equation, Ecuación Navier Stokes, Intégrabilité, Integrability, Integrabilidad, Physique mathématique, Mathematical physics, Física matemática, Solution stationnaire, Steady state solution, Solución estacionaria, Vide, Vacuum, Vacío, 35Q30, 37K10
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Chung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul, Korea, Republic of
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25877422
Database:
PASCAL Archive
Weitere Informationen
In this paper, we prove Liouville type result for the stationary solutions to the compressible Navier―Stokes equations (NS) and the compressible Navier― Stokes―Poisson (NSP) equations and in ℝN, N ≥ 2. Assuming suitable integrability and the uniform boundedness conditions for the solutions we are led to the conclusion that v = 0. In the case of (NS) we deduce that the similar integrability conditions imply v = 0 and ρ = constant on ℝN. This shows that if we impose the the non-vacuum boundary condition at spatial infinity for (NS), v → 0 and ρ → ρ∞ > 0, then v = 0, ρ = ρ∞ are the solutions.