A Free Boundary Problem in Dermal Drug Delivery
Ján Filo, Volker Pluschke · SIAM Journal on Mathematical Analysis · 2002
In this paper we study a free boundary problem in a multicomponent domain. Our study was motivated by the mathematical modeling of dermal and transdermal drug delivery, where the multilayered skin model was considered. At the interface connecting two components the conservation of the flux and Nernst's distribution law hold and it is supposed that in any component there is a positive minimum concentration at which the diffusion front can proceed. The existence of a solution and uniqueness in special cases are shown.