Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line
Czechoslovak Mathematical Journal (1998)
- Volume: 48, Issue: 1, page 85-94
- ISSN: 0011-4642
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topLaurençot, Ph.. "Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line." Czechoslovak Mathematical Journal 48.1 (1998): 85-94. <http://eudml.org/doc/30404>.
@article{Laurençot1998,
abstract = {We investigate the long-time behaviour of solutions to the Korteweg-de Vries equation with a zero order dissipation and an additional forcing term, when the space variable varies over $R$, and prove that it is described by a maximal compact attractor in $H^2(R)$.},
author = {Laurençot, Ph.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Korteweg-de Vries equation; attractor; unbounded domain; Korteweg-de Vries equation; attractor; unbounded domain},
language = {eng},
number = {1},
pages = {85-94},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line},
url = {http://eudml.org/doc/30404},
volume = {48},
year = {1998},
}
TY - JOUR
AU - Laurençot, Ph.
TI - Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 85
EP - 94
AB - We investigate the long-time behaviour of solutions to the Korteweg-de Vries equation with a zero order dissipation and an additional forcing term, when the space variable varies over $R$, and prove that it is described by a maximal compact attractor in $H^2(R)$.
LA - eng
KW - Korteweg-de Vries equation; attractor; unbounded domain; Korteweg-de Vries equation; attractor; unbounded domain
UR - http://eudml.org/doc/30404
ER -
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