Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems (Q649781)
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scientific article; zbMATH DE number 5986532
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems |
scientific article; zbMATH DE number 5986532 |
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Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems (English)
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6 December 2011
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The problem on the existence and uniqueness of a global solution to the Cauchy problem for the so-called bipolar Euler-Poisson system is proven. It is also shown that the solution has decay as \(t \rightarrow \infty\).
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bipolar Euler-Poisson system
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asymptotic behavior
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Green function
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smooth solution
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energy estimates
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elliptic-hyperbolic system
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\(L^2\)-decay rate
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small initial data
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0.97472894
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0.92857593
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0.9242256
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