Note on Global Regularity for 2D Oldroyd-B Fluids with Diffusive Stress
Peter Constantin, Markus Kliegl
TL;DR
This paper proves that solutions to the 2D Oldroyd-B equations with diffusive stresses remain globally regular, ensuring well-behaved solutions over time in fluid dynamics modeling.
Contribution
It establishes the global regularity of 2D Oldroyd-B equations with stress diffusion, a significant advancement in understanding these complex fluid models.
Findings
Solutions are globally regular in 2D with stress diffusion
Diffusive stresses prevent finite-time singularities
Mathematical proof of regularity for the model
Abstract
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial diffusion of the polymeric stresses.
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