A linear system of differential equations describing a joint motion of thermoelastic porous body and thermofluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justification, under...

We demonstrate that isophthalic acid-ended telechelic poly(1,5-cyclooctadiene)s (APCODs) form thermo-reversible gels in non-polar solvent with a unique molecular mechanism for their thermo-reversibility. Like other associative telechelic polymers, A-PCODs form “flower-like” micelles at low concentration and form gels through bridging at higher concentration which exhibit linear viscoelasticity....

Existence of a very weak solution to the d-dimensional thermo-viscoelasticity system for Kelvin-Voigt-type material at small strains involving (possibly nonlinear) monotone viscosity of a p-Laplacian type and temperature-dependent heat capacity of an (ω−1)-polynomial growth is proved by a successive passage to a limit in a suitably regularized Galerkin approximation and sophisticated a priori e...

We study the linear theory of thermo-electro-viscoelasticity Green–Naghdi type for case a one-dimensional body. For corresponding mathematical model, we prove uniqueness theorem solution to mixed boundary-initial-value problem by means Laplace transform after rewriting constitutive equations in an appropriate form. Moreover, derive result continuous dependence upon supply terms.