School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road, Mumbai 400005, India
email: ktj@math.tifr.res.in
Kayyunnapara Thomas Joseph
Abstract:
We discuss initial value problems and initial boundary value problems
for some systems of partial differential equations appearing in the
modelling for the large scale structure formation in the universe.
We restrict the initial data to be bounded measurable and locally
bounded variation function and use Volpert product to justify the
product which appear in the equation. For more general initial data
in the class of generalized functions of Colombeau, we construct
the solution in the sense of association.
Submitted January 30, 2010. Published May 17, 2010.
Math Subject Classifications: 35A20, 35L50, 35R05.
Key Words: Adhesion approximation; large scale structure
An addendum was attached on September 20, 2013. It corrects a mistake in the statement of Theorem 3.1; the proof remains the same.
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Kayyunnapara Thomas Joseph School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road, Mumbai 400005, India email: ktj@math.tifr.res.in |
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