caa a22 4500 60551545X CHVBK 20210128100709.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00205-014-0831-0 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0831-0 Požár Norbert Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan aut Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media [Elektronische Daten] [Norbert Požár] 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. Springer-Verlag Berlin Heidelberg, 2014 Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/1(2015-07-01), 155-230 0003-9527 217:1<155 2015 217 205 https://doi.org/10.1007/s00205-014-0831-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0831-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Požár Norbert Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/1(2015-07-01), 155-230 0003-9527 217:1<155 2015 217 205