Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case (Q1093089)
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scientific article; zbMATH DE number 4021740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case |
scientific article; zbMATH DE number 4021740 |
Statements
Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case (English)
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1986
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A semilinear vector parabolic equation, degenerating into a linear algebraic system with a family of solutions if the small parameter is equal to zero, is considered. A uniform asymptotic expansion of the solution is constructed and justified.
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singular perturbation
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boundary layer
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semilinear vector parabolic equation
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small parameter
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asymptotic expansion
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