Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²

Agnieszka Herczak, and Michał Olech. "Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²." Banach Center Publications 86.1 (2009): 129-148. <http://eudml.org/doc/281650>.

@article{AgnieszkaHerczak2009,
abstract = {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.},
author = {Agnieszka Herczak, Michał Olech},
journal = {Banach Center Publications},
keywords = {parabolic-elliptic system; existence of solutions; asymptotic behavior of solutions; long time behavior of solutions; radially symmetric self-similar solutions},
language = {eng},
number = {1},
pages = {129-148},
title = {Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²},
url = {http://eudml.org/doc/281650},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Agnieszka Herczak
AU - Michał Olech
TI - Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 129
EP - 148
AB - 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.
LA - eng
KW - parabolic-elliptic system; existence of solutions; asymptotic behavior of solutions; long time behavior of solutions; radially symmetric self-similar solutions
UR - http://eudml.org/doc/281650
ER -