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conferenceseries LLC Ltd
6th World Congress on
Climate Change and Global Warming
April 24-25, 2019 | Vancouver, Canada
Find More Information @ April 2019 Conference Series LLC Ltd 17
New mechanics -
mathematical methods in
environment
Anew mathematical method
created in Russia, that has
a mechanical basis and is called
the method of the block element,
is presented in this report. Its
elaboration demanded to include
areas of mathematics of high
level: topology, external analysis,
factorization methods, integral
geometry, automorphisms and
other areas of mathematics. The
numerical-analytical method is
created to explore and solve any
spatial boundary problems for
systems of differential equations
in partial derivatives, linear and
nonlinear. Its difference from
the finite and boundary element
methods consists in the absence
of any discretization. It solves
precisely all boundary problems
which are solved precisely by other
methods, for example, separation
of variables. Among advantages
of the method are mechanical
characteristics detected in the
process of solving problems,
tension and displacement and
not density on the boundaries of
domains of boundary problems,
lack of necessity of diagonalization
of operators of the system of
differential equations, opportunity
to use numerous works of
scientists-mechanics in areas of
differential and integral equations
on some stages of applying the
method. The method allows
carrying out an investigation in a
conversational mode, that allows
detecting regularities connected
with characteristics of the solution
and its characteristics. There
are also particular difficulties in
applying the method of the block
element, which is caused in the
first place by the requirement of
quite a high level of knowledge
of mathematics used by its
application. The results of applying
this mechanics-mathematical
approach to different boundary
problems which were not
studied before have been
gotten. These are problems of
the strength theory, materials
science, seismology, climatology,
nanomaterials. Problems of
seismology are connected
with a mechanical harbinger of
seismicity based on the estimate
of the concentration of strains on
tectonic faults.
Biography
Vladimir Babeshko has completed his HD
(Doctor of Mechanics) in 1974 from Russian
Academy of Sciences. During many years he
is a chief of Scientific-Research Center for
Forecasting and Preventing Geoecological and
Technologenic Disasters Kuban State University
and Southern Research Center, Russian
Academy of Sciences. He has 20 patents,
published 7 monographs and more than 450
papers in reputed journals such as Russian
Academy of Sciences and many others.
Vladimir Babeshko
1South Scientific Centre Russian
Academy of Sciences, Russia
2Kuban State University, Russia
JOURNAL OF EARTH SCIENCE & CLIMATIC CHANGE, 2019 VOLUME 10 | DOI: 10.4172/2157-7617-C1-055 KEYNOTE FORUM |DAY 1