%0 Journal Article
%T Construction of Global Weak Entropy Solution of Initial-Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux
%A Yihong Dai
%A Jing Zhang
%J American Journal of Computational Mathematics
%P 451-468
%@ 2161-1211
%D 2017
%I Scientific Research Publishing
%R 10.4236/ajcm.2017.74033
%X This
paper is concerned with the initial-boundary value problem of scalar conservation
laws with weak discontinuous flux, whose initial data </span><span style=\"font-family:Verdana;\">are</span><span style=\"font-family:Verdana;\"> a function with two
pieces of constant and whose boundary data </span><span style=\"font-family:Verdana;\">are</span><span style=\"font-family:Verdana;\"> a constant function.
Under the condition that the flux function has a finite number of weak discontinuous
points, by using the structure of weak entropy solution of the corresponding
initial value problem and the boundary entropy condition developed by
Bardos-Leroux-Nedelec, we give a construction method to the global weak entropy
solution for this initial-boundary value problem, and by investigating the
interaction of elementary waves and the boundary, we clarify the geometric
structure and the behavior of boundary for the weak entropy solution.
%K Scalar Conservation Laws with Weak Discontinuous Flux
%K Initial-Boundary Value Problem
%K Elementary Wave
%K Interaction
%K Structure of Global Weak Entropy Solution
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=81061