Liliana Restuccia, Adelina Georgescu
Abstract:
This article studies previous results on nonlinear
dissipative waves in Jeffrey media (viscoanelastic media
without memory of order one) done by the first author,
from the point of view of double scale method.
For these media the equations of motion include second order derivative
terms multiplied by a very small parameter. The physical meaning of
a new (fast) variable, related to the surfaces across which the solutions
or/and some of their derivatives vary steeply, is explained.
The three-dimensional case is considered, that contains as a particular case
an one-dimensional application worked out in a previous paper.
Some known results are revised, other ones are derived and original.
The thermodynamic models for Jeffrey media have applications in rheology
and in other technological fields of applied sciences.
Submitted January 16, 2017. Published April 21, 2017.
Math Subject Classifications: 34K35, 34A08, 47045, 65J20.
Key Words: Double-scale method; non-linear dissipative waves;
asymptotic method; rheological media.
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Liliana Restuccia Department of Mathematical and Computer Sciences Physical Sciences and Earth Sciences University of Messina 98166 Messina, Italy email: lrestuccia@unime.it | |
Adelina Georgescu Academy of Romanian Scientists 050094 Bucharest, Romania email: lrestuccia@unime.it |
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