Continuum mechanics with dislocations, with the Cattaneo-type heat conduction, with mass
transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of …

We prove that there exists a weak solution to a system governing an unsteady flow of a
viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is …

Stress-induced martensitic transformation in polycrystalline NiTi under tension often
proceeds through formation and propagation of macroscopic phase transformation fronts, ie …

We propose thermodynamically consistent models for viscoelastic fluids with a stress
diffusion term. In particular, we derive variants of compressible/incompressible …

Viscoelastic rate-type fluid models involving the stress and frame-indifferent time derivatives
of second order, like those in Burgers' model, are used to describe the complicated …

Thermodynamical arguments are known to be useful in the construction of physically
motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous …

This article is devoted to the global well-posedness and associated time-decay estimates of
strong solutions for the compressible Oldroyd-B model without stress diffusion in R^3. By …

Payne effect is the complex nonlinear response of filled elastomers to oscillatory loading.
Although usually characterized by the decrease in the storage modulus with strain …

We establish the long-time existence of large-data weak solutions to a system of nonlinear
partial differential equations. The system of interest governs the motion of non-Newtonian …

We propose a system of conservation laws with relaxation source terms (ie balance laws) for
non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the …