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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence and decay of solutions to the dissipative quasi-geostrophic equation with delays

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Author(s):
Niche, Cesar J. [1] ; Planas, Gabriela [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, BR-21941909 Rio De Janeiro, RJ - Brazil
[2] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 75, n. 9, p. 3936-3950, JUN 2012.
Web of Science Citations: 4
Abstract

We consider the dissipative quasi-geostrophic equation with forcing and advective terms containing delays. We prove the existence of weak solutions and algebraic decay of the energy, provided the initial data theta(0) is in L-p boolean AND L-2, 1 <= p < 2 and the forcing term satisfies some mild conditions on its long time behavior. (C) 2012 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:Milton da Costa Lopes Filho
Support Opportunities: Research Projects - Thematic Grants