Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science
Optimization and Control
2020-06-17 v2 Analysis of PDEs
Abstract
Let us consider a nonlinear degenerate reaction-diffusion equation with application to climate science. After proving that the solution remains nonnegative at any time, when the initial state is nonnegative, we prove the approximate controllability between nonnegative states at any time via multiplicative controls, that is, using as control the reaction coefficient.
Keywords
Cite
@article{arxiv.2003.04966,
title = {Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science},
author = {Giuseppe Floridia},
journal= {arXiv preprint arXiv:2003.04966},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1710.00690