Nonlinear diffusion equation and Liesegang rings (Q653050)
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scientific article; zbMATH DE number 5995577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear diffusion equation and Liesegang rings |
scientific article; zbMATH DE number 5995577 |
Statements
Nonlinear diffusion equation and Liesegang rings (English)
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6 January 2012
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The authors consider the equation \(\frac{\partial u}{\partial r}=\frac{\partial^{2}u}{\partial r^{2}}+\frac{1}{r}\frac{\partial u}{\partial r}=L(u)\), where \(L\) is the Liesegang operator, prove that it has a solution satisfyig the condition \(u_{t=0}=\varphi\), and study the structure of this solution.
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diffusion equation
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Liesegang ring
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asymptotic expansion
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