On the approximation of front propagation problems with nonlocal terms
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 35 (2001) no. 3, p. 437-462

We investigate the approximation of the evolution of compact hypersurfaces of ${ℝ}^{N}$ depending, not only on terms of curvature of the surface, but also on non local terms such as the measure of the set enclosed by the surface.

Classification:  65M12,  35K22
Keywords: front propagation, thinning
@article{M2AN_2001__35_3_437_0,
author = {Cardaliaguet, Pierre and Pasquignon, Denis},
title = {On the approximation of front propagation problems with nonlocal terms},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {35},
number = {3},
year = {2001},
pages = {437-462},
zbl = {0992.65097},
mrnumber = {1837079},
language = {en},
url = {http://www.numdam.org/item/M2AN_2001__35_3_437_0}
}

Cardaliaguet, Pierre; Pasquignon, Denis. On the approximation of front propagation problems with nonlocal terms. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 35 (2001) no. 3, pp. 437-462. http://www.numdam.org/item/M2AN_2001__35_3_437_0/

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