Global Regularity for Some Oldroyd‐B Type Models
Global Regularity for Some Oldroyd‐B Type Models
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. © 2015 Wiley Periodicals, Inc.