论文标题
具有I型记忆的粘弹性阻尼波方程的渐近曲线和奇异极限
Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I
论文作者
论文摘要
在本文中，我们对I型的粘弹性阻尼波方程的库奇问题感兴趣。此外，关于标准能量和解决方案本身，我们在摩尔 - 吉布森 - 汤普森方程与记忆与内存粘弹性阻尼波方程之间建立了单一的极限关系。
In this paper, we are interested in the Cauchy problem for the viscoelastic damped wave equation with memory of type I. By applying WKB analysis and Fourier analysis, we explain the memory's influence on dissipative structures and asymptotic profiles of solutions to the model with weighted $L^1$ initial data. Furthermore, concerning standard energy and the solution itself, we establish singular limit relations between the Moore-Gibson-Thompson equation with memory and the viscoelastic damped wave equation with memory.
