Transonic shock solutions for a system of Euler-Poisson equations (Q389957)
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scientific article; zbMATH DE number 6248974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transonic shock solutions for a system of Euler-Poisson equations |
scientific article; zbMATH DE number 6248974 |
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Transonic shock solutions for a system of Euler-Poisson equations (English)
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22 January 2014
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The authors study the transonic shock solutions for the Dirichlet boundary-value problem for one-dimensional steady Euler-Poisson system. This systems describes semiconductors or plasma: Coulomb force is explicitly described. The flow is transonic. The main result states that the problem can have no, a unique, and multiple transonic shock solutions, depending on the data of the problem. Structure of solutions is described. Attention is paid to influence of the electric field on the dynamics.
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steady flow
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charged fluid
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existence and uniqueness
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Dirichlet boundary-value problem
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0.9505796
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0.9390459
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0.9355912
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0.9325702
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0.9282162
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0.92464495
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0.91331154
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0.9099454
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