Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 5, page 1-12
- ISSN: 0973-5348
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topAlfaro, M., and Hilhorst, D.. "Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion." Mathematical Modelling of Natural Phenomena 5.5 (2010): 1-12. <http://eudml.org/doc/197634>.
@article{Alfaro2010,
abstract = {In this note, we consider a nonlinear diffusion equation with a bistable reaction term
arising in population dynamics. Given a rather general initial data, we investigate its
behavior for small times as the reaction coefficient tends to infinity: we prove a
generation of interface property.},
author = {Alfaro, M., Hilhorst, D.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {degenerate diffusion; singular perturbation; motion by mean curvature; population dynamics},
language = {eng},
month = {7},
number = {5},
pages = {1-12},
publisher = {EDP Sciences},
title = {Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion},
url = {http://eudml.org/doc/197634},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Alfaro, M.
AU - Hilhorst, D.
TI - Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/7//
PB - EDP Sciences
VL - 5
IS - 5
SP - 1
EP - 12
AB - In this note, we consider a nonlinear diffusion equation with a bistable reaction term
arising in population dynamics. Given a rather general initial data, we investigate its
behavior for small times as the reaction coefficient tends to infinity: we prove a
generation of interface property.
LA - eng
KW - degenerate diffusion; singular perturbation; motion by mean curvature; population dynamics
UR - http://eudml.org/doc/197634
ER -
References
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