Global well posedness for the drift-diffusion-Maxwell system in 2D
Najoua El Ghani, Mohamed Majdoub
TL;DR
This paper establishes the global existence of strong solutions for the two-dimensional drift-diffusion-Maxwell system and provides an exponential growth estimate for the solution's $H^1$ norm.
Contribution
It proves the global well-posedness of the system in 2D and offers bounds on the solution's growth over time.
Findings
Global existence of strong solutions in 2D
Exponential growth estimate for the $H^1$ norm
Mathematical validation of the system's stability
Abstract
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 norm of the solution.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering