Prandtl–Eyring fluids
Abstract
We study the stationary flow of Prandtl–Eyring fluids in two dimensions. Based on the solenoidal Lipschitz truncation from chapter 3 we show the existence of weak solutions to the equations of motion. The proof benefits from the improved smallness estimate for the level-sets of the Lipschitz truncation and Korn's inequality from section 2.3. Our approach is completely pressure-free. However, we can recover the pressure based on the results from section 2.2.
Keywords
Prandtl–Eyring fluids; Weak solutions; Stationary flows; Solenoidal Lipschitz truncation; Two dimensional flows; Pressure recovery
The stationary flow of a homogeneous ...
Get Existence Theory for Generalized Newtonian Fluids now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
