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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 15
151
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Articles

Global well posedness for a 2D drift–diffusion–Maxwell system

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Pages 2573-2593 | Received 28 Jan 2017, Accepted 03 Sep 2017, Published online: 22 Sep 2017
 

Abstract

We prove global existence of regular solutions to the drift–diffusion–Maxwell system in two space dimension. We also provide an exponential growth estimate for the norm of the solution when the time goes to infinity.

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Acknowledgements

We are very grateful to Professor Nader Masmoudi for interesting discussions around the questions dealt with in this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

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