Abstract
We are concerned with the time growth of the highest-order energy of three-dimensional inhomogeneous incompressible isotropic elastodynamics. Utilizing Klainerman’s generalized energy method, refined weighted estimates, and the Keel-Smith-Sogge estimate [J. Anal. Math., 87: 265–279, 2002], it is justified that the highest-order generalized energy is uniformly bounded for all time.
| Original language | English |
|---|---|
| Pages (from-to) | 429-461 |
| Number of pages | 33 |
| Journal | Communications in Analysis and Mechanics |
| Volume | 17 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - May 2025 |
Keywords
- KSS estimate
- highest-order energy
- inhomogeneous incompressible elastodynamics
- uniform bound
- vector field theory
ASJC Scopus subject areas
- Mechanics of Materials
- Applied Mathematics
- Control and Optimization
- Geometry and Topology
- Computer Networks and Communications
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