Manas Ranjan Sahoo, Harendra Singh
Abstract:
In this article we introduce a concept of entropy weak asymptotic
solution for a system of conservation laws and construct the same
for a prolonged system of conservation laws which is highly non-strictly
hyperbolic. This is first done for Riemann type initial data by
introducing
waves along a discontinuity
curve and then for general initial data by piecing together the
Riemann solutions.
Submitted March 14, 2016. Published April 7, 2016.
Math Subject Classifications: 35A20, 35L50, 35R05.
Key Words: System of PDEs; initial condition; weak asymptotic solution.
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Manas Ranjan Sahoo School of Mathematical Sciences National Institute of Scince Education and Research Jatni, Khurda-752050, India email: manas@niser.ac.in | |
Harendra Singh Department of Mathematical Sciences, IIT (BHU) Varanasi 221005, India email: harendrasingh.rs.apm12@iitbhu.ac.in |
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