The long-time behaviour of the solutions of the Darcy–Oberbeck– Boussinesq system modeling fluid motion in horizontal porous layers, is investigated. The layer is supposed to be uniformly heated and salted from below, rotating around the vertical axis, showing large pores. Necessary and sufficient conditions guaranteeing the stability of a vertical constant throughflow are obtained. The non-linear, global, asymptotic L2− stability of the throughflow solution, is investigated.
On the stability-instability of vertical throughflows in double diffusive mixtures saturating rotating porous layers with large pores / Capone, Florinda; DE LUCA, Roberta. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - 63:1(2014), pp. 119-148. [10.1007/s11587-013-0168-2]
On the stability-instability of vertical throughflows in double diffusive mixtures saturating rotating porous layers with large pores
CAPONE, FLORINDA;DE LUCA, ROBERTA
2014
Abstract
The long-time behaviour of the solutions of the Darcy–Oberbeck– Boussinesq system modeling fluid motion in horizontal porous layers, is investigated. The layer is supposed to be uniformly heated and salted from below, rotating around the vertical axis, showing large pores. Necessary and sufficient conditions guaranteeing the stability of a vertical constant throughflow are obtained. The non-linear, global, asymptotic L2− stability of the throughflow solution, is investigated.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
