Homogenization of a linear transport equation with time depending coefficient (Q1296438)
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scientific article; zbMATH DE number 1319602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogenization of a linear transport equation with time depending coefficient |
scientific article; zbMATH DE number 1319602 |
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Homogenization of a linear transport equation with time depending coefficient (English)
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21 May 2000
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The author is concerned with the effective behavior of the transport equation\break \(\partial_tu_\varepsilon+ a_\varepsilon(t,y) \partial_x u_\varepsilon=0\) when \(a_\varepsilon \rightharpoonup a\) in \(L^\infty\) weak\(^*\) and the Cauchy problem related to the equation with memory satisfied by a weak\(^*\) limit of the sequence of solutions. The memory term is represented by an averaging operator. The homogenized equation has a unique solution, established considering a kinetic formulation.
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homogenization
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linear transport equation
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time depending coefficient
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Cauchy problem
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0.9414166
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0.9409082
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0.9379672
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0.93739736
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0.9339231
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