Metastability and stability of patterns in a convolution model for phase transitions (Q1849207)
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scientific article; zbMATH DE number 1836802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metastability and stability of patterns in a convolution model for phase transitions |
scientific article; zbMATH DE number 1836802 |
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Metastability and stability of patterns in a convolution model for phase transitions (English)
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28 November 2002
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The author studies the metastability/stability of the equation \[ u_t=J*u-u-f(u), \quad u=u(x,t), \quad x\in \mathbb R^n, \;t\geq 0, \] where the kernel \(J\) of the convolution \(J*u\) (in \(x\)-variable) is nonnegative, radial and has the unit integral, and \(f\) is bistable.
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Allen-Cahn equation
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\(L^2\)-gradient flow
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energy functional
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traveling wave solution
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stability
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convolution
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