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Decay estimates for the compressible viscoelastic equations in an exterior domain

Analysis of PDEs 2025-06-10 v1

Abstract

In this paper, we study the compressible viscoelastic equations in an exterior domain. We prove the L2L_2 estimates for the solution to the linearized problem and show the decay estimates for the solution to the nonlinear problem. In particular, we obtain the optimal decay rates of the solution itself and its spatial-time derivatives in the L2L_2-norm.

Keywords

Cite

@article{arxiv.2506.07215,
  title  = {Decay estimates for the compressible viscoelastic equations in an exterior domain},
  author = {Jieling Deng and Yong Wang and Jianquan Yang},
  journal= {arXiv preprint arXiv:2506.07215},
  year   = {2025}
}

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27 pages