Asymptotic dynamics in double-diffusive convection

• Autorzy: Mikołaj Piniewski
• Języki publikacji: EN

Abstrakty

EN

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 $𝓒([0,∞); H) ∩ L²_{loc}(ℝ^+;V)$. 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 2
• Strony: 223-245

Daty

wydano

2008

Twórcy

autor

Mikołaj Piniewski

• Institute of Applied Mathematics, and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
• Department of Hydraulic Engineering, and Environmental Restoration, Warsaw University of Life Sciences, Nowoursynowska 159, 02-787 Warszawa, Poland

Identyfikatory

DOI

10.4064/am35-2-7