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arXiv · 1810.00851

Solvability for a drift-diffusion system with Robin boundary conditions

Arnaud Heibig·Adrien Petrov·Christian Reichert
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Abstract

This paper focuses on a drift-diffusion system subjected to boundedly non dissipative Robin boundary conditions. A general existence result with large initial conditions is established by using suitable L1, L2 and trace estimates. Finally, two examples coming from the corrosion and the self-gravitation model are analyzed.

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Arnaud Heibig, Adrien Petrov, Christian Reichert. 2018-10-01. Solvability for a drift-diffusion system with Robin boundary conditions. https://arxiv.org/abs/1810.00851

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