Kayyunnapara Thomas Joseph
Abstract:
In this paper we prove existence of global solutions to
a hyperbolic system in elastodynamics, with small viscosity
and dispersion terms and derive estimates uniform in the
viscosity-dispersion parameters. By passing to the limit,
we prove the existence of solution the Riemann problem
for the hyperbolic system with arbitrary Riemann data.
Submitted July 11, 2006. Published September 26, 2006.
Math Subject Classifications: 35B40, 35L65.
Key Words: Elastodynamics equation; viscosity; dispersion; Riemann problem.
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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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