On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients
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 …
models for incompressible viscoelastic fluids. In particular, we study the models that allow …
Infinitesimal and infinite numbers in applied mathematics
A Bryzgalov, K Islami, P Giordano - Nonlinear Dynamics, 2024 - Springer
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 …
is ubiquitous in applications. Also the informal use of infinitesimal and infinite quantities is …
On the pitfalls of diffuse interface methods in problems involving non-material interfaces
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 …
to problems involving mass flux across the interface such as the phase change front. In a …
Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots
The response of mechanical systems composed of springs and dashpots to a step input is of
eminent interest in the applications. If the system is formed by linear elements, then its …
eminent interest in the applications. If the system is formed by linear elements, then its …
On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting
Rigorous analysis of the response of nonlinear materials to step inputs requires one to
simultaneously handle the discontinuity, differentiation, and nonlinearity. This task is …
simultaneously handle the discontinuity, differentiation, and nonlinearity. This task is …
Colombeau products of distributions
In this paper, some products of distributions are derived. The results are obtained in
Colombeau algebra of generalized functions, which is the most relevant algebraic …
Colombeau algebra of generalized functions, which is the most relevant algebraic …
A note on parametric resonance induced by a singular parameter modulation
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 …
oscillating pivot. This simple mechanical setting is frequently used as the prime example of a …
[PDF][PDF] A Grothendieck topos of generalized functions II: ODE
LL Baglini, P Giordano, D Kebiche, H Vernaeve - Preprint, 2019 - mat.univie.ac.at
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 present paper, we deal with Cauchy problems for ODE in the so-called normal form, ie {y …
Results on the Colombeau Products of the Distribution x+− r− 1/2 with the Distributions x−− k− 1/2 and x− k− 1/2
M Miteva, B Jolevska-Tuneska… - Functional Analysis and …, 2018 - Springer
Results on the products of the distribution x+− r− 1/2 with the distributions x−− k− 1/2 and x−
k− 1/2 are obtained in the differential algebra G (ℝ) of Colombeau generalized functions …
k− 1/2 are obtained in the differential algebra G (ℝ) of Colombeau generalized functions …
Jump conditions and dynamic surface tension at non-material interfaces
P Kottman - 2021 - dspace.cuni.cz
Problems involving fluid flow across phase interfaces arise in many branches of physics and
engineering, making correct description of fluid behavior near an interface an impor-tant …
engineering, making correct description of fluid behavior near an interface an impor-tant …