Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws-II
Sahoo, Manas Ranjan
Texas State University, Department of Mathematics
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 δ, δ′ and δ″ waves along a discontinuity curve and then for general initial data by piecing together the Riemann solutions.
System of PDEs, Initial condition, Weak asymptotic solution
Sahoo, M. R., Singh, H. (2016). Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws-II. <i>Electronic Journal of Differential Equations, 2016</i>(94), pp. 1-14.
Attribution 4.0 International