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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Analytical study of Pavlov equation - Mittu Walia
(Indian Institute of Technology)
DTSTART;TZID=Europe/London:20240115T154500
DTEND;TZID=Europe/London:20240115T161500
UID:TALK208459AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/208459
DESCRIPTION:The study of the complexity of fluid dynamics has
attracted many researchers and CFD analyst over th
e years. A wide variety of engineering systems can
be modeled and expressed in the language of diffe
rential equations. Therefore\, understanding the s
olution of these PDEs has always played a signific
ant role in science and engineering research. The
hyperbolic conservation law is an important class
of time dependent PDEs arising in a wide spectrum
of disciplines such as gas dynamics\, fluid dynami
cs\, acoustics\, biomechanics and geophysics. Beca
use of the possibility of discontinuity and sharp
gradients in the solutions\, the majority of these
hyperbolic PDEs are solved using numerical method
s. The main difficulties in the numerical methods
are stability\, convergence analysis and round-off
errors. The effect of round off errors may lead t
o approximate solutions. Hence\, the convergence t
o the correct solution and its accuracy needs to b
e ascertained. Therefore\, it is of fundamental im
portance to develop accurate methods such as analy
tic or semi-analytical techniques to obtain a prec
ise solution of hyperbolic conservation equations.
The development of methods for finding an accurat
e solution of hyperbolic conservation equations is
significant to simulate and predict their behavio
r. Hence\, presents the semi-analytical based homo
topy analysis method (HAM) for solving the nonline
ar hyperbolic PDEs. The conservation equations suc
h as the Pavlov equation\, Burgers equation\, and
Euler equations of gas dynamics would be considere
d for investigations. It is envisaged to solve the
se equations using the HAM. The present work will
provide the synthesis in the direction of understa
nding HAM combined with the method of characterist
ics approach to examine Pavlov equation\, known fo
r associated commuting flows.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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