In this paper we prove a certain regularity property of configurations of immiscible fluids, filling a bounded container and locally minimizing the interface energy sum(cij |Sij|), where Sij represents the interface between fluid i and fluid j, |.| stands for area or more general area-type functional, and cij is a positive coefficient. More precisely, we show that, under strict triangularity of the cij’s, no infiltrations of other fluids are allowed between two main ones. A remarkable consequence of this fact is the almost-everywhere regularity of the interfaces. Our analysis is performed in general dimension n ≥ 2 and with volume constraints on fluids.

Infiltrations in immiscible fluids systems / Leonardi, G. P.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 131:2(2001), pp. 425-436. [10.1017/S0308210500000937]

Infiltrations in immiscible fluids systems

Leonardi G.P.
2001-01-01

Abstract

In this paper we prove a certain regularity property of configurations of immiscible fluids, filling a bounded container and locally minimizing the interface energy sum(cij |Sij|), where Sij represents the interface between fluid i and fluid j, |.| stands for area or more general area-type functional, and cij is a positive coefficient. More precisely, we show that, under strict triangularity of the cij’s, no infiltrations of other fluids are allowed between two main ones. A remarkable consequence of this fact is the almost-everywhere regularity of the interfaces. Our analysis is performed in general dimension n ≥ 2 and with volume constraints on fluids.
2001
2
Leonardi, G. P.
Infiltrations in immiscible fluids systems / Leonardi, G. P.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 131:2(2001), pp. 425-436. [10.1017/S0308210500000937]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/228726
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