Partial asymptotic decomposition of domain: Navier-Stokes equation in tube structure;Decomposition asymptotique partielle de domaine: Equation de Navier- Stokes dans une structure tubulaire

Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie

Volumn 326, Issue 12, 1998, Pages 893-898

  Panasenko, Grigori P ^a  

^a UNIVERSITÉ JEAN MONNET   (France)

Author keywords

Asymtotic; Decomposition; Domain; Navier Stokes equation; Thin cylinder; Tube structure

Indexed keywords

NAVIER-STOKES EQUATIONS; PIPE FLOW;

ARTICLE; CALCULATION; DECOMPOSITION; PHYSICS; TUBE;

EID: 0032321719     PISSN: 12874620     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1251-8069(99)80045-3     Document Type: Article

References (7)

1. [1] Panasenko G.P., Asymptotic solutions of the elasticity theory system of equations for lattice and skeletal structures, Math. USSR Sb. 183 (1) (1992) 89-113. (in Russian); English translation by AMS in: Russian Acad. Sci. Sbornik Math. 75 (1) (1993) 85-110.
2. [1] Panasenko G.P., Asymptotic solutions of the elasticity theory system of equations for lattice and skeletal structures, Math. USSR Sb. 183 (1) (1992) 89-113. (in Russian); English translation by AMS in: Russian Acad. Sci. Sbornik Math. 75 (1) (1993) 85-110.
3. [2] Ladyzhenskaya O.A., The mathematical theory of viscous incompressible flow, Gordon and Breach Sc. Publ., New York/London/Paris, 1969.
4. [3] Panasenko G.P., Asymptotic expansion of the solution of Navier-Stokes equation in tube structure, C. R. Acad. Sci. Paris, série IIb 326 (1998) 867-872.
5. [4] Panasenko G.P., Asymptotic expansion of the solution of Stokes equation in tube structure and partial decomposition of the domain, in: Proc. Int. Conf. Porous Media: Physics, Models, Simulations, Nedra Publishers, Moscow, 1998.
6. [5] Blanc F., Gipouloux O., Panasenko G.P., Zine A.M., Asymptotic analysis and partial asymptotic decomposition of the domain for Stokes equation in tube structure, Publications de l'Equipe d'analyse numérique Lyon Saint-Étienne CNRS UMR 5585, n° 280, 1998, pp. 1-29.
7. [6] Panasenko G.P., Method of asymptotic partial decomposition of domain, Math. Models Methods Appl. Sci. 8 (1) (1998) 139-156.