Global Regularity for Some Oldroyd-B Type Models

Tarek M. Elgindi; Frederic Rousset

doi:10.1002/cpa.21563

Global Regularity for Some Oldroyd-B Type Models

Tarek M. Elgindi, Frederic Rousset

Mathematics

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

64 Scopus citations

Abstract

We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension 2. We use a transformation that exploits the Oldroyd-B structure to prove an L^∞ bound on the vorticity which allows us to prove global regularity for our systems.

Original language	English (US)
Pages (from-to)	2005-2021
Number of pages	17
Journal	Communications on Pure and Applied Mathematics
Volume	68
Issue number	11
DOIs	https://doi.org/10.1002/cpa.21563
State	Published - Nov 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/cpa.21563

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abstract = "We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension 2. We use a transformation that exploits the Oldroyd-B structure to prove an L∞ bound on the vorticity which allows us to prove global regularity for our systems.",

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AB - We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension 2. We use a transformation that exploits the Oldroyd-B structure to prove an L∞ bound on the vorticity which allows us to prove global regularity for our systems.

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JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

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Global Regularity for Some Oldroyd-B Type Models

Abstract

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