Stability and instability of equilibria on singular domains

Maria Gokieli, and Nicolas Varchon. "Stability and instability of equilibria on singular domains." Banach Center Publications 86.1 (2009): 103-113. <http://eudml.org/doc/281732>.

@article{MariaGokieli2009,
abstract = {We show existence of nonconstant stable equilibria for the Neumann reaction-diffusion problem on domains with fractures inside. We also show that the stability properties of all hyperbolic equilibria remain unchanged under domain perturbation in a quite general sense, covered by the theory of Mosco convergence.},
author = {Maria Gokieli, Nicolas Varchon},
journal = {Banach Center Publications},
keywords = {domain perturbation; long-time behaviour; Mosco convergence},
language = {eng},
number = {1},
pages = {103-113},
title = {Stability and instability of equilibria on singular domains},
url = {http://eudml.org/doc/281732},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Maria Gokieli
AU - Nicolas Varchon
TI - Stability and instability of equilibria on singular domains
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 103
EP - 113
AB - We show existence of nonconstant stable equilibria for the Neumann reaction-diffusion problem on domains with fractures inside. We also show that the stability properties of all hyperbolic equilibria remain unchanged under domain perturbation in a quite general sense, covered by the theory of Mosco convergence.
LA - eng
KW - domain perturbation; long-time behaviour; Mosco convergence
UR - http://eudml.org/doc/281732
ER -