Browsing by Subject "Classical solutions"

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Analysis of a two-phase model describing the growth of solid tumors

Escher, Joachim; Matioc, Anca-Voichita (Cambridge : Cambridge University Press, 2013)

In this paper we consider a two-phase model describing the growth of avascular solid tumors when taking into account the effects of cell-to-cell adhesion and taxis due to nutrient. The tumor is surrounded by healthy tissue ...
A moving boundary problem for the Stokes equations involving osmosis: Variational modelling and short-time well-posedness

Lippoth, Friedrich; Peletier, Mark A.; Prokert, Georg (Cambridge : Cambridge University Press, 2016)

Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of ...

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