Global solutions to the isothermal Euler-Poisson plasma model. (English) Zbl 0817.76102

Summary: Global existence of a solution to the system of isothermal one- dimensional Euler equations for electrons and ions coupled by the Poisson equation is proved using Glimm scheme. The key point is the use of the almost conservation of charge for estimating the total variation of the electric field.


76X05 Ionized gas flow in electromagnetic fields; plasmic flow
35Q35 PDEs in connection with fluid mechanics
Full Text: DOI


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