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math.AP2018
Global weak solvability, Continuous dependence on data and large time growth of swelling moving interfaces
Kota Kumazaki, Adrian Muntean
We prove a global existence result for weak solutions to a one-dimensional free boundary problem with flux boundary conditions describing swelling along a halfline. Additionally, w…
math.AP2018
Local weak solvability of a moving boundary problem describing swelling along a halfline
Kota Kumazaki, Adrian Muntean
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…