Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D

Boyan Jonov; Paul Kessenich; Thomas C. Sideris

doi:10.3934/krm.2021038

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2022, Volume 15, Issue 4: 621-649. Doi: 10.3934/krm.2021038

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Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D

1.
Raytheon Technologies, Goleta, CA 93117, USA
2.
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
3.
Department of Mathematics, University of California, Santa Barbara, CA 93016, USA

^*Corresponding author: Thomas C. Sideris
^*Corresponding author: Thomas C. Sideris

In memory of Bob Glassey, penetrating mathematician, inspiring teacher, patient mentor, and friend. -T.C.S.

Received: May 31, 2021

Published: August 2022

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Abstract

The initial value problem for incompressible Hookean viscoelastic motion in three space dimensions has global strong solutions with small displacements.

Keywords:

Incompressible viscoelasticity,
global existence.

Mathematics Subject Classification: Primary: 35Q74.

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References

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