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Volume 9, Issue 3
Approximate Inertial Manifolds to the Newton-Boussinesq Equations

Boling Guo & Bixiang Wang

J. Part. Diff. Eq., 9 (1996), pp. 237-250.

Published online: 1996-09

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  • Abstract
Approximate inertial manifolds are related to the study of long time behaviour of dissipative partial differential equa tions. In this paper, we construct two approximate inertial manifolds for the two dimensional Newton-Boussinesq Equations. The orders of approximations of these manifolds to the global attractor are derived.
  • Keywords

Nonlinear Galerkin methods long time integration approximate inertial manifolds Newton-Boussinesq equations

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@Article{JPDE-9-237, author = {Boling Guo and Bixiang Wang }, title = {Approximate Inertial Manifolds to the Newton-Boussinesq Equations}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {3}, pages = {237--250}, abstract = { Approximate inertial manifolds are related to the study of long time behaviour of dissipative partial differential equa tions. In this paper, we construct two approximate inertial manifolds for the two dimensional Newton-Boussinesq Equations. The orders of approximations of these manifolds to the global attractor are derived.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5624.html} }
TY - JOUR T1 - Approximate Inertial Manifolds to the Newton-Boussinesq Equations AU - Boling Guo & Bixiang Wang JO - Journal of Partial Differential Equations VL - 3 SP - 237 EP - 250 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5624.html KW - Nonlinear Galerkin methods KW - long time integration KW - approximate inertial manifolds KW - Newton-Boussinesq equations AB - Approximate inertial manifolds are related to the study of long time behaviour of dissipative partial differential equa tions. In this paper, we construct two approximate inertial manifolds for the two dimensional Newton-Boussinesq Equations. The orders of approximations of these manifolds to the global attractor are derived.
Boling Guo and Bixiang Wang . (1996). Approximate Inertial Manifolds to the Newton-Boussinesq Equations. Journal of Partial Differential Equations. 9 (3). 237-250. doi:
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