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Local existence and uniqueness of solutions to one-dimensional tumor invasion model
(Elsevier, 2010)
In the present paper, we propose a modified tumor invasion model which was originally
proposed in Chaplain and Anderson (2003) [1]. And we show the local existence and
uniqueness of solutions to approximate systems of ...
Simulating Phase Transition Dynamics on Non-trivial Domains
(Lecture Notes in Computer Science, 2013)
Our goal is to investigate the influence of the geometry and topology of the domain Ω on the solutions of the phase transition and other diffusion-driven phenomena in Ω, modeled e.g. by the Allen-Cahn, Cahn-Hilliard, ...