Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
Analysis of PDEs
2025-10-14 v1
Abstract
We consider a model of a viscoelastic compressible flow in which is additionally shear thickening (the stress tensor corresponds to the power law model, however, the divergence of the velocity is due to the model bounded). We prove existence of a weak solution to this model provided the growth in the power law model is larger or equal than . We also prove that any sufficiently smooth solution of this model is unique in the class of weak solution, provided extra integrability of the initial value for the extra stress tensor is assumed.
Cite
@article{arxiv.2510.10096,
title = {Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model},
author = {Yong Lu and Milan Pokorny},
journal= {arXiv preprint arXiv:2510.10096},
year = {2025}
}