Uniform Bound of the Highest Energy for the 3D Incompressible Elastodynamics

Abstract

This article concerns the time growth of Sobolev norms of classical solutions to the 3D incompressible isotropic elastodynamics with small initial displacements.

arXiv admin note: text overlap with arXiv:1212.6391

References in corpus (2)

• Global Solutions for Incompressible Viscoelastic Fluids
• Global Existence with Small Initial Data for Three-Dimensional Incompressible Isotropic Viscoelastic Materials

Cited by in corpus (5)

• Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions
• Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium
• Global Well-posedness for 2D Nonlinear Wave Equations without Compact Support
• Global Well-posedness of Incompressible Elastodynamics in Three Dimensional Thin Domain
• Remarks on Nonlinear Elastic Waves in the Radial Symmetry in 2-D