Local weak solvability of a moving boundary problem describing swelling along a halfline

Kota Kumazaki; Adrian Muntean

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arXiv · 1804.11053

Local weak solvability of a moving boundary problem describing swelling along a halfline

Kota Kumazaki·Adrian Muntean

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Abstract

We obtain the local well-posedness of a moving boundary problem that describes the swelling of a pocket of water within an infinitely thin elongated pore. Our result involves fine a priori estimates of the moving boundary evolution, Banach fixed point arguments as well as an application of the general theory of evolution equations governed by subdifferentials.

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Kota Kumazaki, Adrian Muntean. 2018-04-30. Local weak solvability of a moving boundary problem describing swelling along a halfline. https://arxiv.org/abs/1804.11053

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