In this work, we investigate the inverse problem of determining kernel functions that best describe mechanical behavior a complex medium modeled by general nonlocal viscoelastic wave equation. To end, minimize tracking-type data misfit function under PDE constraint. We perform well-posedness analysis state and adjoint problems and, using these results, rigorously derive first-order sensitivitie...

The mechanical response of active media ranging from biological gels to living tissues is governed by a subtle interplay between viscosity and elasticity. We generalize the canonical Kelvin-Voigt Maxwell models viscoelastic that break both parity time-reversal symmetries. resulting continuum theories exhibit viscous elastic tensors are antisymmetric, or odd, under exchange pairs indices. analyz...

Synchronization of two actuated sheets serves as a simple model for the interaction between flagellated microswimmers. Various factors, including inertia, sheet elasticity, and fluid viscoelasticity, have been suggested to facilitate synchronization sheets; however, importance different contributions this process still remains unclear. We perform systematic investigation competing effects visco...

An abstract integrodifferential equation arising from linear viscoelasticity is considered. The stability properties of the related C0-semigroup are discussed, in dependence on the form of the convolution (memory) kernel.

A linear partial integro-differential equation is solved both numerically and analytically using variational iteration method. This equation typically arises in viscoelasticity and other areas. The analytic solution is represented by an infinite series.

Few-layer graphene (FLG) was added as a nano-additive to lithium complex grease (LCG) explore the influence of FLG on microstructure, viscoelasticity, friction and wear properties LCG. Studies have found that addition makes microstructure thickener more compact, which in turn leads an increase viscoelasticity additives can improve viscosity-temperature change elastic deformation response temper...