Quasistatic Droplets in Randomly Perforated Domains
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0777-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0777-2 | ||
| 245 | 0 | 0 | |a Quasistatic Droplets in Randomly Perforated Domains |h [Elektronische Daten] |c [Nestor Guillen, Inwon Kim] |
| 520 | 3 | |a We consider the Hele-Shaw problem in a randomly perforated domain with zero Neumann boundary conditions. A homogenization limit is obtained as the characteristic scale of the domain goes to zero. Specifically, we prove that the solutions as well as their free boundaries converge uniformly to those corresponding to a homogeneous and anisotropic Hele-Shaw problem set in $${\mathbb{R}^{d}}$$ R d . The main challenge when deriving the limit lies in controlling the oscillations of the free boundary. This is overcome first by extending De Giorgi-Nash-Moser type estimates to perforated domains and second by proving the almost sure non-degenerate growth of the solution near its free boundary. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Guillen |D Nestor |u Department of Mathematics, UCLA, Los Angeles, USA |4 aut | |
| 700 | 1 | |a Kim |D Inwon |u Department of Mathematics, UCLA, Los Angeles, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/1(2015-01-01), 211-281 |x 0003-9527 |q 215:1<211 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0777-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0777-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Guillen |D Nestor |u Department of Mathematics, UCLA, Los Angeles, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kim |D Inwon |u Department of Mathematics, UCLA, Los Angeles, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/1(2015-01-01), 211-281 |x 0003-9527 |q 215:1<211 |1 2015 |2 215 |o 205 | ||