Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity
Analysis of PDEs
2025-05-02 v1 Numerical Analysis
Numerical Analysis
Abstract
We investigate the well-posedness and solution regularity of an evolution equation with non-positive type variable-exponent memory, which describes multiscale viscoelasticity in materials with memory. The perturbation method is applied for model transformation, based on which the well-posedness is proved. Then the weighted solution regularity is derived, where the initial singularity is characterized by the initial value of variable exponent.
Cite
@article{arxiv.2505.00446,
title = {Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity},
author = {Yiqun Li and Xiangcheng Zheng},
journal= {arXiv preprint arXiv:2505.00446},
year = {2025}
}