Global existence results for Oldroyd-B Fluids in exterior domains: The case of non-small coupling parameters

2012/04/23 by Daoyuang Fang, Matthias Hieber, Fang, Daoyuang +3
Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP #msc:35Q35 #msc:76D03 #msc:76D05

paper · pdf · doi:10.48550/arxiv.1204.4959

arxiv created 2012/04/23 · arxiv updated 2012/04/24

Abstract

Consider the set of equations describing Oldroyd-B fluids in an exterior domain. It is shown that this set of equations admits a unique, global solution in a certain function space provided the initial data, but not necessarily the coupling constant, is small enough.

Related

• Remarks on Oldroyd-B and Related Complex Fluids Models
• Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
• Global weak solutions for some Oldroyd models
• Global solutions to the Oldroyd-B model with a class of large initial data
• Global well-posedness and large time behavior for the Oldroyd-B model