We investigate the approximation of the evolution of compact hypersurfaces of ${\mathbb{R}}^{N}$ 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.

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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