The Bifurcation Phenomenon for Scalar Conservation Laws with Discontinuous Flux Functions
This paper is devoted to study the bifurcation phenomenon for scalar conservation laws with flux functions involving discontinuous coefficients. In order to deal with it, the special Cauchy initial data are taken and the interactions of stationary wave discontinuities with shock waves and rarefaction waves are considered in detail. The global solutions of this special Cauchy problem are constructed completely when the bifurcation phenomena appear in their solutions.
discontinuous flux function stationary wave discontinuity riemann problem wave interaction nonstrictly hyperbolicity 35l65 35l67 35b30 76n10