Nonclassical shock waves of conservation laws: Flux function having two inflection points
Date
2006-12-05
Authors
Nghia, Ho Dac
Thanh, Mai Duc
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Conservation law, Non-genuine nonlinearity, Nonclassical solution, Kinetic relation
Citation
Nghia, 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.
Rights
Attribution 4.0 International