On the stability of the equation of a one-dimensional viscous heat-conducting gas with variable boundary (Q2747922)
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scientific article; zbMATH DE number 1658539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of the equation of a one-dimensional viscous heat-conducting gas with variable boundary |
scientific article; zbMATH DE number 1658539 |
Statements
29 November 2001
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viscous polytropic gas
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one space dimension
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moving boundary
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0.94815874
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0.9449003
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0.9207752
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0.9192322
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0.9129026
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0.9047574
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0.9015221
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On the stability of the equation of a one-dimensional viscous heat-conducting gas with variable boundary (English)
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The equations of a one-dimensional viscous heat-conducting compressible gas in a variable domain with appropriate boundary conditions are considered. The large-time behaviour of the solution in the particular case where the displacement of the variable boundary is given by \(L(t) =L_{0} (1+at)^{\alpha } \) with \(0 < \alpha < 1\), where \(a\) is a positive constant and \(L_{0} \) is the initial amplitude of the domain, is studied.
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