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

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 (i.e. on \begin{document}$ [a, +\infty), \ a>0 $\end{document}). Our result involves fine a priori estimates of the moving boundary evolution,...

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Bibliographic Details

Published in:	Networks and Heterogeneous Media
Main Authors:	Kota Kumazaki, Adrian Muntean
Format:	Article
Language:	English
Published:	AIMS Press 2019-09-01
Subjects:	moving boundary problem a priori estimates nonlinear initial-boundary value problems for nonlinear parabolic equations swelling of pores flux boundary conditions
Online Access:	https://www.aimspress.com/article/doi/10.3934/nhm.2019018