Global Regularity for Some Oldroyd‐B Type Models
By Tarek M. Elgindi, Frédéric Rousset. 2013
122 citations recorded by the source corpus.
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. © 2015 Wiley Periodicals, Inc.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b02331b987e4a0ab416e338a9ff6f173352d1eef
How researchers see this paper
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In Applied Mathematics
- Tarek M. Elgindi
- Nader Masmoudi
- Frédéric Rousset
- Vlad Vicol
- Peter Constantin
- Pierre Germain
- Markus Kliegl
- Alexis Vasseur
In Mathematical Physics
- Tarek M. Elgindi
- Nader Masmoudi
- Pierre Germain
- Vlad Vicol
- Sijue Wu
- Marius Paicu
- Arghir Zarnescu
- Yasunori Maekawa
Citations in the corpus
- L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\infty $$\end{document} Ill-Posedness for a Class of Equations Ari (2019, background): “By inspecting the linearized equation, we find that the quantity := ω + −1divcurl(τ ), first introduced in [21], actually satisfies the heat equation.”