@article{Jang2025, 
author = {Juhi Jang and Trevor M. Leslie},
title = {Separable motions for self-gravitating hyperelastic matter},
year = {2025},
journal = {Communications in Analysis and Mechanics},
volume = {17},
number = {3},
pages = {810-828},
keywords = {hyperelastic matter, self-gravitation, separable/homologous solutions, strain energy, solid vacuum boundary conditions},
url = {https://www.sciopen.com/article/10.3934/cam.2025032},
doi = {10.3934/cam.2025032},
abstract = {In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumptions on the strain-energy function. Our framework includes both global-in-time solutions which expand and also solutions which collapse to a point in finite time. Other authors have constructed expanding solutions in similar settings, but to the best of our knowledge, the collapsing solutions we construct are completely new.}
}