Global solutions to the Euler-Poisson equations of two-carrier types in one dimension
- D. Wang
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The global solution to the one-dimensional Euler-Poisson equations of two-carrier types is constructed by the fractional Godunov method. The compensated compactness framework is applied to prove the convergence of the approximate solutions. Some sharp form of the uniform estimate is made to overcome the difficulties due to the coupling terms. The existence of the global weak entropy solution with arbitrarily large initial data is established.
- Global solutions to the Euler-Poisson equations of two-carrier types in one dimension
Zeitschrift für angewandte Mathematik und Physik ZAMP
Volume 48, Issue 4 , pp 680-693
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- Birkhäuser Verlag
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- Key words. Euler-Poisson equations of two-carrier types, Godunov scheme, compensated compactness, global solution.
- D. Wang (A1)
- Author Affiliations
- A1. Department of Mathematics, Northwestern University, Evanston, IL 60208, USA, e-mail: email@example.com, US