In this paper we use singularity theory and bifurcation theory of dynamical systems, including Melnikov's method, to find all nearby shock waves that are ...
Abstract. We consider a one-parameter family of nonstrictly hyperbolic systems of conservation laws modeling three-phase flow in a porous medium.
Abstract. We consider a one-parameter family of nonstrictly hyperbolic systems of conservation laws modeling three-phase flow in a porous medium.
In the bifurcation analysis, the unperturbed shock wave acts as an organizing center for the waves appearing in Riemann solutions. Key words. Riemann problems, ...
This paper uses singularity theory and bifurcation theory of dynamical systems, including Melnikov's method, to find all nearby shock waves that are ...
This paper considers the Riemann problem and an associated Godunov method for a model of compressible two-phase flow. The model is a reduced form of the ...
AN ORGANIZING CENTER FOR WAVE BIFURCATION IN MULTIPHASE FLOW MODELS DAN MARCHESIN, BRADLEY J. PLOHR, AND STEPHEN SCHECTER Abstract.
Front Matter · https://www.jstor.org/stable/2951848 ; An Organizing Center for Wave Bifurcation in Multiphase Flow Models · (pp. 1189-1215). Dan Marchesin, Bradley ...
Wave structure for a nonstrictly hyperbolic system of three ...
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This work presents the wave structure and the Riemann solution for a system of three conservation laws. The system is hyperbolic.
Marchesin, D., Plohr, B. J., and Schecter, S. (1997). An organizing center for wave bifurcation in multiphase flow models. SIAM. J. Appl. Math. 57, 1189–1215.