@article{Liu2023, 
author = {Caifeng Liu},
title = {Linear Rayleigh-Taylor instability for compressible viscoelastic fluids},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {14894-14918},
keywords = {linear Rayleigh-Taylor instability, compressible viscoelastic fluid, moving domain},
url = {https://www.sciopen.com/article/10.3934/math.2023761},
doi = {10.3934/math.2023761},
abstract = {In this paper, we consider the linear Rayleigh-Taylor instability of an equilibrium state of 3D gravity-driven compressible viscoelastic fluid with the elasticity coefficient    κ is less than a critical number        κ          c       in a moving horizontal periodic domain. We first construct the maximal growing mode solutions to the linearized equations by studying a family of modified variational problems, and then we prove an estimate for arbitrary solutions to the linearized equations.}
}