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arxiv: 1407.5297 · v2 · pith:VVOY3CTXnew · submitted 2014-07-20 · 🧮 math.AP

Global well posedness for the drift-diffusion-Maxwell system in 2D

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keywords drift-diffusion-maxwellglobalsystemdimensionestimateexistenceexponentialgrowth
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We prove global existence of strong solutions to the drift-diffusion-Maxwell system in two space dimension. We also provide an exponential growth estimate for the $H^1$ norm of the solution.

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