Artículos de revistas
Stationary Solutions For Generalized Boussinesq Models
Registro en:
Journal Of Differential Equations. , v. 124, n. 2, p. 389 - 406, 1996.
220396
10.1006/jdeq.1996.0016
2-s2.0-0040151815
Autor
Lorca S.A.
Boldrini J.L.
Institución
Resumen
We study the existence, regularity, and conditions for uniqueness of solutions of a generalized Boussinesq model for thermally driven convection. The model allows temperature dependent viscosity and thermal conductivity. © 1996 Academic Press, Inc. 124 2 389 406 Adams, R.A., (1975) Sobolev Spaces, , Academic Press, New York Amrouche, C., Girault, V., On the existence and regularity of the solution of Stokes problem in arbitrary dimension (1991) Proc. Japan Acad., 67, pp. 171-175 Bernardi, C., Laval, F., Metivet, B., Pernaud-Thomas, B., Finite element approximation of viscous flow with varying density (1992) SIAM J. Numer. Anal., 29, pp. 1203-1243 Busse, F.H., The stability of finite amplitude cellular convection and its relation to an extremun principle (1967) J. Fluid Mech., 30, pp. 625-649 Cattabriga, I., Su un problema al contorno relativo al sistema di equazioni di Stokes (1961) Rend. Sem. Univ. Padova, 31, pp. 308-340 Drazin, P.G., Reid, W.H., (1981) Hydrodynamic Stability, , Cambridge Univ. Press Graham, A., Shear patterns in a unstable layer of air (1933) Philos. Trans. Roy. Soc. London Ser. A, 232, pp. 285-296 Heywood, J.G., The Navier-Stokes equations: On the existence, regularity and decay of solutions (1980) Indiana Univ. Math. J., 29, pp. 639-681 Morimoto, H., On the existence of weak solutions of equation of natural convection (1989) J. Fac. Sci. Univ. Tokyo, 36, pp. 87-102 Morimoto, H., On the existence and uniqueness of the stationary solution to the equations of natural convection (1991) Tokyo J. Math., 14, pp. 220-226 Palm, E., On the tendency towards hexagonal cells in steady convection (1960) J. Fluid Mech., 8, pp. 183-192 Palm, E., Ellingsen, T., Gjevik, B., On the ocurrence of cellular motion in Bénard convection (1967) J. Fluid Mech., 30, pp. 651-661 Rabinowitz, P.H., Existence and nonuniqueness of rectangular solutions of the Bénard problem (1968) Arch. Rational Mech. Anal., 29, pp. 32-57 Temam, R., (1977) Navier-Stokes Equations, , North-Holland, Amsterdam Von Tippelkirch, H., Über Konvektionszeller insbesondere im flüssigen schwefel (1956) Beiträge Phys. Atmos., 20, pp. 37-54