We study control problems for some integro-differential equations using the Hilbert Uniqueness Method. To do that we follow a harmonic analysis approach. Our results can be applied to concrete examples in viscoelasticity theory.

Although collective cell migration (CCM) is a highly coordinated and fine-tuned migratory mode, instabilities in the form of swirling motion (CSM) often occur. The CSM represents product active turbulence obtained at low Reynolds number which has feedback impact on various processes such as: morphogenesis, wound healing, cancer invasion. cause this phenomenon related to viscoelasticity multicel...

An elastomeric gel is a mixture of a polymer network and a solvent. In response to changes in mechanical forces and in the chemical potential of the solvent in the environment, the gel evolves by two concurrent molecular processes: the conformational change of the network, and the migration of the solvent. The two processes result in viscoelasticity and poroelasticity, and are characterized by ...

The viscoelastic properties of human ligament potentially guard against structural failure, yet the microstructural origins of these transient behaviors are unknown. Glycosaminoglycans (GAGs) are widely suspected to affect ligament viscoelasticity by forming molecular bridges between neighboring collagen fibrils. This study investigated whether GAGs directly affect viscoelastic material behavio...

original form after stretching but can also be irreversibly deformed. This viscoelasticity makes clots stiff enough to stem blood flow but pliable enough not to become obstructive. Weisel’s group investigated the mechanical properties of individual fibers that confer viscoelasticity to clots. They used laser tweezers to pull on beads attached to fibrin fibers within clots that were prepared fro...

his paper reports finite-element simulations of drop deformation in converging flows in an xisymmetric conical geometry. The moving interface is captured using a diffuse-interface model nd accurate interfacial resolution is ensured by adaptive refinement of the grid. We have explored he effects of viscoelasticity on drop deformation when either the drop or the matrix is a Giesekus uid. Contrary...