Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²
Agnieszka Herczak, Michał Olech (2009)
Banach Center Publications
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We investigate a system describing electrically charged particles in the whole space ℝ². Our main goal is to describe large time behavior of solutions which start their evolution from initial data of small size. This is achieved using radially symmetric self-similar solutions.