Global wellposedness to the generalized Oldroyd type models in R3

Tarek M. Elgindi; Jianli Liu

doi:10.1016/j.jde.2015.03.026

Global wellposedness to the generalized Oldroyd type models in R³

Tarek M. Elgindi, Jianli Liu

Mathematics

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

It remains unknown whether smooth solutions of the 3D Oldroyd models exist globally in viscoelastic fluids. Using the trick of transferring dissipation, we get the global strong solutions of the generalized Oldroyd models in three dimensions, under the assumption that initial data is sufficiently small. It improves the result in two dimensions obtained by Elgndi and Rousset (2015) [4].

Original language	English (US)
Pages (from-to)	1958-1966
Number of pages	9
Journal	Journal of Differential Equations
Volume	259
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2015.03.026
State	Published - Sep 5 2015

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Global well-posedness
Oldroyd B model
Strong solutions

Access to Document

10.1016/j.jde.2015.03.026

Cite this

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abstract = "It remains unknown whether smooth solutions of the 3D Oldroyd models exist globally in viscoelastic fluids. Using the trick of transferring dissipation, we get the global strong solutions of the generalized Oldroyd models in three dimensions, under the assumption that initial data is sufficiently small. It improves the result in two dimensions obtained by Elgndi and Rousset (2015) [4].",

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