# American Institute of Mathematical Sciences

October  2013, 6(5): 1307-1313. doi: 10.3934/dcdss.2013.6.1307

## Remarks on the theory of Oldroyd-B fluids in exterior domains

 1 Fachbereich Mathematik, Angewandte Analysis, Technische Universität Darmstadt, Schlossgartenstr. 7, 64289 Darmstadt, Germany

Received  December 2011 Revised  March 2012 Published  March 2013

Consider the set of equations describing Oldroyd-B fluids with finite Weissenberg numbers in exterior domains. In this note, we describe the main ideas of the proofs of two recent results on global existence for this set of equations on exterior domains subject to Dirichlet boundary conditions. The methods described here are quite different from the techniques used in the Lagrangian approach which is often used in the case of infinite Weissenberg numbers.
Citation: Matthias Hieber. Remarks on the theory of Oldroyd-B fluids in exterior domains. Discrete & Continuous Dynamical Systems - S, 2013, 6 (5) : 1307-1313. doi: 10.3934/dcdss.2013.6.1307
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