Abstract
In this paper, we make some comparisons between the solutions for Navier-Stokes equation and those for heat conduction equation.
In his study of Navier-Stokes equation, professor J. Leray, a French mathematician and authority on partial differential equation, starting from heat conduction equation, obtained some results of properly posed of certain initial boundary value problems of Navier-Stokes equation. Professor R. Temam of University de Paris XI and other experts in this field also brought up the possibility of comparing these two classes of equations. This paper attempts to describe and prove the fundamental difference between these two.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Laudau, L. and E. Lifchitz.Mécanique des Fluid, Edition Tome 6, Mir Mouscou (1971).
Leray, J., Essai sur les mouvements plans d’un liquide visqueux que limitent des parois,Journal Mathematique (1934).
Mikhailov, V.,Equations aux Derivess Partielles, Edition Mir Mouscou (1980), 345–346.
Shih, W. S., Un invariant numerique associe a un systeme d’equations aux derivees partielles,C. R. Acad Sc Paris, Serie I,304, 17 (1987).
Shih, W. H., Solutions analytiques de quelques equations aux derivees partielles en mecanique des fluides, travaux en cours, 42, Hermann, Paris (1992).
Valiron G.,Equations Fonctionnelles. Applications, Hermann (1992), 587–589.
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zeng
Rights and permissions
About this article
Cite this article
Wei-hui, S., Xiao-zuo, F. Stability of navier-stokes equation(II). Appl Math Mech 15, 929–933 (1994). https://doi.org/10.1007/BF02451036
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02451036