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arXiv · 2505.00446

Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity

Yiqun Li·Xiangcheng Zheng
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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.

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Yiqun Li, Xiangcheng Zheng. 2025-05-01. Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity. https://arxiv.org/abs/2505.00446

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