A nonlocal Gray-Scott model: well-posedness and diffusive limit
Analysis of PDEs
2023-07-21 v1
Abstract
Well-posedness in of the nonlocal Gray-Scott model is studied for integrable kernels, along with the stability of the semi-trivial spatially homogeneous steady state. In addition, it is shown that the solutions to the nonlocal Gray-Scott system converge to those to the classical Gray-Scott system in the diffusive limit.
Cite
@article{arxiv.2307.10627,
title = {A nonlocal Gray-Scott model: well-posedness and diffusive limit},
author = {Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:2307.10627},
year = {2023}
}