Global solutions of the 3D incompressible inhomogeneous viscoelastic system
Analysis of PDEs
2024-03-04 v1
Abstract
In this paper, we prove the global existence of strong solutions for the 3D incompressible inhomogeneous viscoelastic system. We do not assume the "initial state" assumption and the "div-curl" structure inspired by the works [59,61]. It is a key to transform the original system into a suitable dissipative system by introducing a new effective tensor, which is useful to establish a series of energy estimates with appropriate time weights.
Keywords
Cite
@article{arxiv.2403.00555,
title = {Global solutions of the 3D incompressible inhomogeneous viscoelastic system},
author = {Chengfei Ai and Yong Wang},
journal= {arXiv preprint arXiv:2403.00555},
year = {2024}
}