Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0831-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0831-0 | ||
| 100 | 1 | |a Požár |D Norbert |u Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan |4 aut | |
| 245 | 1 | 0 | |a Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media |h [Elektronische Daten] |c [Norbert Požár] |
| 520 | 3 | |a We consider the homogenization of the Hele-Shaw problem in periodic media that are inhomogeneous both in space and time. After extending the theory of viscosity solutions into this context, we show that the solutions of the inhomogeneous problem converge in the homogenization limit to the solution of a homogeneous Hele-Shaw-type problem with a general, possibly nonlinear dependence of the free boundary velocity on the gradient. Moreover, the free boundaries converge locally uniformly in Hausdorff distance. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/1(2015-07-01), 155-230 |x 0003-9527 |q 217:1<155 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0831-0 |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/s00205-014-0831-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Požár |D Norbert |u Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/1(2015-07-01), 155-230 |x 0003-9527 |q 217:1<155 |1 2015 |2 217 |o 205 | ||