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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 1
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Articles

Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir–capillaries interface

Carlo D'Angelo MOX, Dip. di Matematica ‘F.Brioschi’, Politecnico di Milano, via Bonardi 9, 20133 Milano, Italy
,
Grigory Panasenko University of Lyon, Laboratory of Mathematics of the University of Saint-Etienne (LAMUSE), 23 rue Michelon 42023 Saint-Etienne Cedex 02, FranceCorrespondence[email protected]
&
Alfio Quarteroni University of Lyon, Laboratory of Mathematics of the University of Saint-Etienne (LAMUSE), 23 rue Michelon 42023 Saint-Etienne Cedex 02, France; CMCS, Ecole Polythecnique Fédérale de Lausanne (EPFL), CH1015 Lausanne, Switzerland
Pages 158-171 | Received 23 Apr 2011, Accepted 25 Jun 2011, Published online: 19 Sep 2011

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Vladimir Kozlov, Sergei Nazarov & German Zavorokhin. (2018) A fractal graph model of capillary type systems. Complex Variables and Elliptic Equations 63:7-8, pages 1044-1068.
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Irina Malakhova-Ziablova, Grigory Panasenko & Ruxandra Stavre. (2016) Asymptotic analysis of a thin rigid stratified elastic plate – viscous fluid interaction problem. Applicable Analysis 95:7, pages 1467-1506.
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Articles from other publishers (9)

Eduard Marušić-Paloka & Igor Pažanin. (2021) Rigorous justification of the effective boundary condition on a porous wall via homogenization. Zeitschrift für angewandte Mathematik und Physik 72:4.
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A. K. Nandakumaran & Abu Sufian. (2021) Oscillating PDE in a rough domain with a curved interface: Homogenization of an Optimal Control Problem. ESAIM: Control, Optimisation and Calculus of Variations 27, pages S4.
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Antonio Gaudiello & Michel Lenczner. (2020) A Two-Dimensional Electrostatic Model of Interdigitated Comb Drive in Longitudinal Mode. SIAM Journal on Applied Mathematics 80:2, pages 792-813.
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Antonio Gaudiello & Taras Mel'nyk. (2018) Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary. Journal of Differential Equations 265:10, pages 5419-5454.
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Antonio Gaudiello & Olivier Guibé. (2017) Homogenization of an evolution problem with $$ L\log L$$ L log L data in a domain with oscillating boundary. Annali di Matematica Pura ed Applicata (1923 -) 197:1, pages 153-169.
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Antonio Gaudiello, Olivier Guibé & François Murat. (2017) Homogenization of the Brush Problem with a Source Term in L 1. Archive for Rational Mechanics and Analysis 225:1, pages 1-64.
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Antonio Gaudiello & Ali Sili. (2015) Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity. SIAM Journal on Mathematical Analysis 47:3, pages 1671-1692.
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ANTONIO GAUDIELLO & OLIVIER GUIBÉ. (2013) HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH L log L DATA IN A DOMAIN WITH OSCILLATING BOUNDARY . Communications in Contemporary Mathematics 15:06, pages 1350008.
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Youcef Amirat, Olivier Bodart, Umberto De Maio & Antonio Gaudiello. (2013) Effective boundary condition for Stokes flow over a very rough surface. Journal of Differential Equations 254:8, pages 3395-3430.
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