Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 1, pp. 85-94.

Voir la notice de l'article dans Czech Digital Mathematics Library

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 $H^2(R)$.
Classification : 35B40, 35Q53, 47H20, 58F39
Mots-clés : Korteweg-de Vries equation; attractor; unbounded domain.
@article{CMJ_1998__48_1_a7,
     author = {Lauren\c{c}ot, Ph.},
     title = {Compact attractor for weakly damped driven {Korteweg-de} {Vries} equations on the real line},
     journal = {Czechoslovak Mathematical Journal},
     pages = {85--94},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {1998},
     mrnumber = {1614084},
     zbl = {0928.35145},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_1_a7/}
}
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
SP  - 85
EP  - 94
VL  - 48
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_1_a7/
LA  - en
ID  - CMJ_1998__48_1_a7
ER  - 
%0 Journal Article
%A Laurençot, Ph.
%T Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line
%J Czechoslovak Mathematical Journal
%D 1998
%P 85-94
%V 48
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_1_a7/
%G en
%F CMJ_1998__48_1_a7
Laurençot, Ph. Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 1, pp. 85-94. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_1_a7/