Asymptotic analysis of random boundary layers between two incompressible viscous fluid flows

The asymptotic analysis of boundary layers of random thinness and of higher Reynolds number separating two interacting incompressible viscous fluid flows is described using Γ -convergence methods. An asymptotic interfacial contact law is derived, which involves the jumps of the velocity and of the p...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2015-12, Vol.66 (6), p.3357-3376
Hauptverfasser: Brillard, Alain, El Jarroudi, Mustapha
Format: Artikel
Sprache:eng
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Zusammenfassung:The asymptotic analysis of boundary layers of random thinness and of higher Reynolds number separating two interacting incompressible viscous fluid flows is described using Γ -convergence methods. An asymptotic interfacial contact law is derived, which involves the jumps of the velocity and of the pressures of the fluids through an ergodic coefficient.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-015-0589-8