Harendra Singh, Manas Ranjan Sahoo, Om Prakash Singh
Abstract:
In this article, we construct the weak asymptotic solution developed
by Panov and Shelkovich for piecewise known solutions to a prolonged
system of conservation laws. This is done by introducing four singular
waves along a discontinuity curve, which in turn implies the existence
of weak asymptotic solutions for the Riemann type initial data.
By piecing together the Riemann problems, we construct weak asymptotic
solution for general type initial data.
Submitted December 5, 2014. Published January 5, 2015.
Math Subject Classifications: 35A20, 35F25, 35R05.
Key Words: System of PDEs; initial conditions; weak asymptotic solutions.
Show me the PDF file (201 KB), TEX file, and other files for this article.
 |
Harendra Singh Department of Mathematical Sciences, IIT (BHU) Varanasi 221005, India email: harendrasingh.rs.apm12@iitbhu.ac.in |
|---|---|
 |
Manas Ranjan Sahoo Department of Mathematical Sciences, IIT (BHU) Varanasi 221005, India email: sahoo@math.tifrbng.res.in |
 |
Om Prakash Singh Department of Mathematical Sciences, IIT (BHU) Varanasi 221005, India email: opsingh.apm@iitbhu.ac.in |
Return to the EJDE web page