On the approximation of front propagation problems with nonlocal terms

Pierre Cardaliaguet; Denis Pasquignon

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 3, page 437-462
  • ISSN: 0764-583X

Abstract

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We investigate the approximation of the evolution of compact hypersurfaces of 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.

How to cite

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Cardaliaguet, Pierre, and Pasquignon, Denis. "On the approximation of front propagation problems with nonlocal terms." ESAIM: Mathematical Modelling and Numerical Analysis 35.3 (2010): 437-462. <http://eudml.org/doc/197579>.

@article{Cardaliaguet2010,
abstract = { 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. },
author = {Cardaliaguet, Pierre, Pasquignon, Denis},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Front propagation; thinning.; front propagation; thinning; evolution; compact hypersurfaces; surface curvature},
language = {eng},
month = {3},
number = {3},
pages = {437-462},
publisher = {EDP Sciences},
title = {On the approximation of front propagation problems with nonlocal terms},
url = {http://eudml.org/doc/197579},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Cardaliaguet, Pierre
AU - Pasquignon, Denis
TI - On the approximation of front propagation problems with nonlocal terms
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 437
EP - 462
AB - 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.
LA - eng
KW - Front propagation; thinning.; front propagation; thinning; evolution; compact hypersurfaces; surface curvature
UR - http://eudml.org/doc/197579
ER -

References

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