Free boundary problems are at the forefront of mathematical oncology, where the tumour boundary is not predetermined but emerges from the underlying biological processes. These problems couple partial ...

Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...

Motivated by a new kind of initial boundary value problem (IBVP) with a free boundary arising in wave-structure interaction, we propose here a general approach to one-dimensional IBVP as well as ...

This is a preview. Log in through your library . Abstract We present a finite element method along with its analysis for the optimal control of a model free boundary problem with surface tension ...