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An Inverse Problem for the System of Viscoelasticity Equations in Homogeneous Anisotropic Media
Journal of Applied and Industrial Mathematics Pub Date : 2020-02-04 , DOI: 10.1134/s1990478919040057
U. D. Durdiev

Under study is the problem of reconstructing the memory function of a. viscoelastic medium from the system of viscoelastic equations for a. homogeneous anisotropic medium. As additional information, the Fourier image of the displacement vector with respect to the spatial variables for the values V0# 0 of the transformation parameter is given. It is demonstrated that, provided the data of the problem satisfy some conditions of agreement and smoothness, the solution of the problem is uniquely determined in the class of continuous functions and depends continuously on the given functions.

中文翻译:

均质各向异性介质中粘弹性方程组的一个反问题

正在研究的是重建a的记忆功能的问题。从粘弹性方程组中获取粘弹性介质。均质各向异性介质。作为附加信息,给出了位移矢量相对于空间变量的傅立叶图像,用于变换参数的值V 0 0。证明了,只要问题的数据满足一致和平滑的某些条件,就可以在连续函数的类别中唯一地确定问题的解决方案,并且连续地取决于给定的函数。
更新日期:2020-02-04
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