Classical solutions for a one-phase osmosis model |
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Authors: | Friedrich Lippoth Georg Prokert |
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Institution: | 1. Institute of Applied Mathematics, Leibniz University of Hanover, Welfengarten 1, 30167, Hannover, Germany 2. Faculty of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600?MB, Eindhoven, The Netherlands
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Abstract: | For a moving boundary problem modeling the motion of a semipermeable membrane by osmotic pressure and surface tension, we prove the existence and uniqueness of classical solutions on small time intervals. Moreover, we construct solutions existing on arbitrary long time intervals, provided the initial geometry is close to an equilibrium. In both cases, our method relies on maximal regularity results for parabolic systems with inhomogeneous boundary data. |
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