The Cauchy problem for a Bardina–Oldroyd model to the incompressible viscoelastic flow. (April 2017)

• Record Type: Journal Article
• Authors: Qiu, Hua
• Is Part Of: Nonlinear analysis. Volume 34(2017)
• Page Start: 172
• Page End: 187
• Publication Date: 2017-04
• Subjects: Incompressible viscoelastic fluids -- Global existence -- Oldroyd model -- Bardina model; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.08.009
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we study the Cauchy problem for a regularized viscoelastic fluid model in space dimension two, the Bardina–Oldroyd model, which is inspired by the simplified Bardina model for the turbulent flows of fluids, introduced by Cao et al. (2006). In particular, we obtain the local existence of smooth solutions to this model via the contraction mapping principle. Furthermore, we prove the global existence of smooth solutions to this system.