Asymptotic behaviour for a diffusion-convection equation with rapidly decreasing initial data (Q1977679)
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scientific article; zbMATH DE number 1449020
| Language | Label | Description | Also known as |
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| English | Asymptotic behaviour for a diffusion-convection equation with rapidly decreasing initial data |
scientific article; zbMATH DE number 1449020 |
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Asymptotic behaviour for a diffusion-convection equation with rapidly decreasing initial data (English)
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1 February 2001
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The large-time behaviour of solutions of the equation \(u_t-(u^m)_x=u_xx\), \(m>1\) with homogeneous Neumann boundary condition and bounded initial data is studied. The competition between the diffusion and the convection terms with respect to the concentration of the initial data is investigated. Convergence results are proved rescaling the equation and using Bernstein-type methods.
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large-time behaviour
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homogeneous Neumann boundary condition
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competition between the diffusion and the convection terms
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Bernstein-type methods
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0.8564489483833313
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0.855853259563446
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