Stability of planar fronts for a non-local phase kinetics equation with a conservation law in \(D \leq 3\) (Q2894043)
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scientific article; zbMATH DE number 6050827
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of planar fronts for a non-local phase kinetics equation with a conservation law in \(D \leq 3\) |
scientific article; zbMATH DE number 6050827 |
Statements
27 June 2012
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nonlinear stability
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nonlocal and nonlinear evolution equation
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local magnetization
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Gates-Penrose-Lebowitz free energy
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sub-critical temperatures
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two local spatially homogeneous equilibria
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0.9303711
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0.89376956
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0.8806947
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0.87966174
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0.87775105
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0.8772209
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Stability of planar fronts for a non-local phase kinetics equation with a conservation law in \(D \leq 3\) (English)
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The authors study a nonlocal and nonlinear evolution equation, in a cylinder, describing the dynamics of a local magnetization process. Here, a basic tool is represented by the Gates-Penrose-Lebowitz free energy functional defined on the measurable functions of the cylinder through which the considered equation is written in a gradient flow form. It is shown that for sub-critical temperatures there are two local spatially homogeneous equilibria. A stability result for the planar fronts is established.
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