We consider the double-diffusive convection phenomenon and analyze the governing equations. A system of partial differential equations describing the convective flow arising when a layer of fluid with a dissolved solute is heated from below is considered. The problem is placed in a functional analytic setting in order to prove a theorem on existence, uniqueness and continuous dependence on initial data of weak solutions in the class . This theorem enables us to show that the infinite-dimensional dynamical system generated by the double-diffusive convection equations has a global attractor on which the long-term dynamics of solutions is focused.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-7,
author = {Miko\l aj Piniewski},
title = {Asymptotic dynamics in double-diffusive convection},
journal = {Applicationes Mathematicae},
volume = {35},
year = {2008},
pages = {223-245},
zbl = {1149.35327},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-7}
}
Mikołaj Piniewski. Asymptotic dynamics in double-diffusive convection. Applicationes Mathematicae, Tome 35 (2008) pp. 223-245. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-7/