We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type
models for incompressible viscoelastic fluids. In particular, we study the models that allow …

The need to describe abrupt changes or response of nonlinear systems to impulsive stimuli
is ubiquitous in applications. Also the informal use of infinitesimal and infinite quantities is …

In this paper, we discuss the implications of applying traditional diffuse-interface techniques
to problems involving mass flux across the interface such as the phase change front. In a …

We study the dynamics of small perturbations to the rest state of a viscoelastic rate type fluid
with temperature dependent material parameters. We show that if the material parameters …

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Rigorous analysis of the response of nonlinear materials to step inputs requires one to
simultaneously handle the discontinuity, differentiation, and nonlinearity. This task is …

Uncured styrene-butadiene rubber (SBR) can be modelled as a viscoelastic material with at
least two different relaxation mechanisms. In this paper we compare multi-mode constitutive …

We investigate the classical problem of motion of a mathematical pendulum with an
oscillating pivot. This simple mechanical setting is frequently used as the prime example of a …

After the presentation in [20] of the basic theory of generalized smooth functions (GSF), in
the present paper, we deal with Cauchy problems for ODE in the so-called normal form, ie {y …

The critical step in the formulation of complete set of governing equations for motion of
continuous medium is the mathematical description of the behaviour of the specific material …