Boundary layer effects for the nonlinear evolution equations with the vanishing diffusion limit (Q1727031)
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scientific article; zbMATH DE number 7026530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary layer effects for the nonlinear evolution equations with the vanishing diffusion limit |
scientific article; zbMATH DE number 7026530 |
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Boundary layer effects for the nonlinear evolution equations with the vanishing diffusion limit (English)
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20 February 2019
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Summary: We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit \(\alpha \rightarrow 0^+\), especially for the mixed boundary conditions; we prove that the thickness of layer is of the order \(O(\alpha)\). Furthermore, the corresponding convergence rates are also obtained.
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