Dynamical approximation of internal transition layers in a bistable nonlocal reaction-diffusion equation via the averaged mean curvature flow (Q2518206)

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Dynamical approximation of internal transition layers in a bistable nonlocal reaction-diffusion equation via the averaged mean curvature flow
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    Dynamical approximation of internal transition layers in a bistable nonlocal reaction-diffusion equation via the averaged mean curvature flow (English)
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    15 January 2009
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    The author considers the singular perturbation problem for a bistable nonlocal reaction-diffusion equation. And proved that the layer solutions of this nonlocal reaction-diffusion equation converge to solutions of the averaged mean curvature flow on a finite time interval as the singular perturbation parameter tends to zero.
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    dynamical approximation
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    transition layer
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    reaction-diffusion equation
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