A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts

Autor:	Guillaume Carlier, Maxime Laborde
Rok vydání:	2017
Předmět:	Applied Mathematics 010102 general mathematics 01 natural sciences Constructive 010101 applied mathematics Nonlinear system Scheme (mathematics) Applied mathematics Nonlinear diffusion Minification 0101 mathematics Helmholtz decomposition Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 150:1-18
ISSN:	0362-546X
DOI:	10.1016/j.na.2016.10.026
Popis:	We prove an existence result for nonlinear diffusion equations in the presence of a nonlocal density-dependent drift which is not necessarily potential. The proof is constructive and based on the Helmholtz decomposition of the drift and a splitting scheme. The splitting scheme combines transport steps by the divergence-free part of the drift and semi-implicit minimization steps a la Jordan-Kinderlherer Otto to deal with the potential part.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c4d2239364942e056dbf5dde22867d58 https://doi.org/10.1016/j.na.2016.10.026 Zobrazit plný text záznamu Full Text from ScienceDirect