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Global Solution of a Nonlinear Conservation Law with Weak Discontinuous Flux in the Half Space

DOI: 10.4236/ajcm.2018.84026, PP. 326-342

Keywords: Nonlinear Conservation Laws with Weak Discontinuous Flux, Initial-Boundary Value Problem, Shock Wave, Rarefaction Wave, Contact Discontinuity, Interaction, Structure of Global Weak Entropy Solution

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Abstract:

This paper is concerned with the initial-boundary value problem of a nonlinear conservation law in the half space R+= {x |x > 0}
\"\"
where a>0 , u(x,t) is an unknown function of x ∈ R+
and t>0 , u ± , um are three given constants satisfying um=u+u-
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