Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping. (Q1864658)
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scientific article; zbMATH DE number 1884224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping. |
scientific article; zbMATH DE number 1884224 |
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Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping. (English)
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18 March 2003
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The authors are interested in the large time behavior of the solution of Cauchy problem for the \(p\)-system with frictional damping (\(2 \times 2\) system of conservation laws with linear right-hand side). New approximate Green functions with a parameter is introduced and investigated by Fourier analysis. The new pointwise estimates on the solutions are obtained such that the optimal \(L_p\) convergence to the nonlinear diffusion waves can be deduced.
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\(p\)-system with frictional damping
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\(2\times 2\) system
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liner right-hand side
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nonlinear diffusion waves
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Cauchy problem
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asymptotic behavior
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