@Article{JMS-58-338,
author = {Xie , Binqiang},
title = {A Regularity Result for the Incompressible Elastodynamics with a Free Interface},
journal = {Journal of Mathematical Study},
year = {2025},
volume = {58},
number = {3},
pages = {338--361},
abstract = {<p style="text-align: justify;">We consider the incompressible inviscid elastodynamics equations with a
free surface and establish the regularity of solutions for elastic system. Compared with
the previous result on this free boundary problem [ Gu X and Wang F, Well-posedness
of the free boundary problem in incompressible elastodynamics under the mixed type
stability condition, J. Math. Anal. Appl., 2020, 482(1): 123529] in space $H^3,$ we are able
to establish the regularity in space $H^{2.5+δ}.$ It is achieved by reformulating the system
into the Lagrangian formulation, presenting the uniform estimates for the pressure,
the tangential estimates for the system, as well as the divergence and curl estimates.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v58n3.25.06},
url = {http://global-sci.org/intro/article_detail/jms/24412.html}
}