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Nonlinear diffusion in arterial tissues: a free boundary problem

Acta Mechanica, ISSN: 0001-5970, Vol: 229, Issue: 10, Page: 4215-4228
2018
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Article Description

A free boundary problem on a finite interval is formulated and solved for a nonlinear diffusion–convection equation. The model is suitable to describe drug diffusion in arterial tissues after the drug is released by an arterial stent. The problem is reduced to a system of nonlinear integral equations, admitting a unique solution for small time. The existence of an exact solution corresponding to a moving front is also shown, which is in agreement with numerical results existing in the literature.

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