Low Mach number limit of inviscid Hookean elastodynamics

Qiangchang Ju, Jiawei Wang, Xin Xu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The low Mach number limit of inviscid Hookean elastodynamic equations is rigorously proved in bounded domain, whole space and periodic domain, respectively. The uniform existence of smooth solutions and convergence results as the Mach number tends to zero are obtained in three different domains.

Original languageEnglish
Article number103683
JournalNonlinear Analysis: Real World Applications
StatePublished - Dec 2022
Externally publishedYes


  • Elastodynamics
  • General initial data
  • Low Mach number limit


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