On L1 estimates of solutions of compressible viscoelastic system
Abstract
We consider the large time behavior of solutions of compressible viscoelastic system around a motionless state in a three-dimensional whole space. We show that if the initial preturbation belongs to W2,1, and is sufficiently small in H4 L1, the solutions grow in time at the same rate as t12 in L1 due to diffusion wave phenomena of the system caused by interaction between sound wave, viscous diffusion and elastic wave.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.