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Mathematics > Analysis of PDEs

arXiv:1804.11053 (math)
[Submitted on 30 Apr 2018]

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

Authors: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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.11053 [math.AP]
  (or arXiv:1804.11053v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.11053

Submission history

From: Kota Kumazaki [view email]
[v1] Mon, 30 Apr 2018 05:55:11 UTC (20 KB)
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