# 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

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topCardaliaguet, 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 -

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