# American Institute of Mathematical Sciences

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November  2016, 15(6): 2007-2021. doi: 10.3934/cpaa.2016025

## Uniform global existence and convergence of Euler-Maxwell systems with small parameters

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Received  April 2015 Revised  April 2016 Published  September 2016

The Euler-Maxwell system with small parameters arises in the modeling of magnetized plasmas and semiconductors. For initial data close to constant equilibrium states, we prove uniform energy estimates with respect to the parameters, which imply the global existence of smooth solutions. Under reasonable assumptions on the convergence of initial conditions, this allows to show the global-in-time convergence of the Euler-Maxwell system as each of the parameters goes to zero.
Citation: Victor Wasiolek. Uniform global existence and convergence of Euler-Maxwell systems with small parameters. Communications on Pure & Applied Analysis, 2016, 15 (6) : 2007-2021. doi: 10.3934/cpaa.2016025
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