Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains

Cung The Anh, and Dang Thanh Son. "Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains." Bulletin of the Polish Academy of Sciences. Mathematics 62.3 (2014): 265-289. <http://eudml.org/doc/281276>.

@article{CungTheAnh2014,
abstract = {We study the existence and long-time behavior of weak solutions to Newton-Boussinesq equations in two-dimensional domains satisfying the Poincaré inequality. We prove the existence of a unique minimal finite-dimensional pullback $D_σ$-attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms.},
author = {Cung The Anh, Dang Thanh Son},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Newton-Boussinesq equations; unbounded domain; pulback attractor; fractal dimension; energy equation method},
language = {eng},
number = {3},
pages = {265-289},
title = {Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains},
url = {http://eudml.org/doc/281276},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Cung The Anh
AU - Dang Thanh Son
TI - Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 3
SP - 265
EP - 289
AB - We study the existence and long-time behavior of weak solutions to Newton-Boussinesq equations in two-dimensional domains satisfying the Poincaré inequality. We prove the existence of a unique minimal finite-dimensional pullback $D_σ$-attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms.
LA - eng
KW - Newton-Boussinesq equations; unbounded domain; pulback attractor; fractal dimension; energy equation method
UR - http://eudml.org/doc/281276
ER -