1 citations · 2 across the 2 of their papers we have counts for
4 papers · 1 filter
Local existence of a solution to a free boundary problem describing migration into rubber with a breaking effect
Kota Kumazaki, Toyohiko Aiki, Adrian Muntean
We consider a one-dimensional free boundary problem describing the migration of diffusants into rubber. In our setting, the free boundary represents the position of the front delim…
A free boundary problem describing migration into rubbers -- quest of the large time behavior
K. Kumazaki, T. Aiki, A. Muntean
In many industrial applications, rubber-based materials are routinely used in conjunction with various penetrants or diluents in gaseous or liquid form. It is of interest to estima…
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…
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…