Nghia, Ho DacThanh, Mai Duc2021-07-212021-07-212006-12-05Nghia, H. D., & Thanh, M. D. (2006). Nonclassical shock waves of conservation laws: Flux function having two inflection points. <i>Electronic Journal of Differential Equations, 2006</i>(149), pp. 1-17.1072-6691https://hdl.handle.net/10877/14022We 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalConservation lawNon-genuine nonlinearityNonclassical solutionKinetic relationArticle