A free boundary problem for tissue growth is derived via forced mean curvature flow with kinetic under-cooling, coupled to an interior PDE, plus linear stability analysis and finite-element computations.
On algorithms with good mesh properties for problems with moving boundaries based on the Harmonic Map Heat Flow and the DeTurck trick
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A tractable mathematical model for tissue growth
A free boundary problem for tissue growth is derived via forced mean curvature flow with kinetic under-cooling, coupled to an interior PDE, plus linear stability analysis and finite-element computations.