Nonclassical shock waves of conservation laws: Flux function having two inflection points
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We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a specific entropy at which the system lacks the non-genuine nonlinearity. Corresponding to each inflection point, A nonclassical Riemann solver can be uniquely constructed. Furthermore, two kinetic relations can be used to construct nonclassical Riemann solutions.
CitationNghia, H. D., & Thanh, M. D. (2006). Nonclassical shock waves of conservation laws: Flux function having two inflection points. Electronic Journal of Differential Equations, 2006(149), pp. 1-17.
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