Asymptotically self-similar solutions for the parabolic system modelling chemotaxis
Banach Center Publications (2006)
- Volume: 74, Issue: 1, page 149-160
- ISSN: 0137-6934
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topYūki Naito. "Asymptotically self-similar solutions for the parabolic system modelling chemotaxis." Banach Center Publications 74.1 (2006): 149-160. <http://eudml.org/doc/281801>.
@article{YūkiNaito2006,
abstract = {We consider a nonlinear parabolic system modelling chemotaxis
$u_t = ∇·(∇u - u∇v)$, $v_t = Δv + u$
in ℝ², t > 0. We first prove the existence of time-global solutions, including self-similar solutions, for small initial data, and then show the asymptotically self-similar behavior for a class of general solutions.},
author = {Yūki Naito},
journal = {Banach Center Publications},
keywords = {nonlinear parabolic systems; chemotaxis; self-similar solutions; asymptotically self-similar behavior},
language = {eng},
number = {1},
pages = {149-160},
title = {Asymptotically self-similar solutions for the parabolic system modelling chemotaxis},
url = {http://eudml.org/doc/281801},
volume = {74},
year = {2006},
}
TY - JOUR
AU - Yūki Naito
TI - Asymptotically self-similar solutions for the parabolic system modelling chemotaxis
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 149
EP - 160
AB - We consider a nonlinear parabolic system modelling chemotaxis
$u_t = ∇·(∇u - u∇v)$, $v_t = Δv + u$
in ℝ², t > 0. We first prove the existence of time-global solutions, including self-similar solutions, for small initial data, and then show the asymptotically self-similar behavior for a class of general solutions.
LA - eng
KW - nonlinear parabolic systems; chemotaxis; self-similar solutions; asymptotically self-similar behavior
UR - http://eudml.org/doc/281801
ER -
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