Diffuse-Interface Approximations of Osmosis Free Boundary Problems
نویسنده
چکیده
Free boundary problems based on mass conservation and surface tension with application in osmotic swelling are the topic of this contribution. Phase-field approximations of such models are introduced, in order to numerically investigate properties of the solutions. Formal justification of the proposed approximations is provided by matched asymptotic expansions supported by numerical tests reproducing the convergence for shrinking interface thickness.
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 76 شماره
صفحات -
تاریخ انتشار 2016