Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D
Boyan Jonov, Paul Kessenich, Thomas C. Sideris
TL;DR
This paper proves that small displacement solutions to the 3D Hookean incompressible viscoelasticity initial value problem exist globally in time, ensuring stability and well-posedness under small initial data.
Contribution
It establishes the global existence of strong solutions for small displacements in the 3D Hookean incompressible viscoelasticity model, a significant advance in understanding such systems.
Findings
Global strong solutions exist for small initial displacements.
The solutions are valid for all time, indicating stability.
The results apply specifically to the 3D Hookean incompressible case.
Abstract
The initial value problem for Hookean incompressible viscoelastictic motion in three space dimensions has global strong solutions with small displacements.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.