Mathematics > Analysis of PDEs
[Submitted on 1 May 2025
]
Title: Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity
Title: 变指数记忆模型多尺度粘弹性演化方程的分析
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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