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Wave structure for a nonstrictly hyperbolic system of three conservation laws. (English) Zbl 0838.76090
This paper finds the wave structure and solution of the Riemann problem for a system of three conservation laws for three-phase flow in a porous medium, taking into account the effects of changes in the aqueous viscosity due to a polymer injection. The system involved is hyperbolic in that its Jacobian matrix has real eigenvalues, but it has hyperbolic singularities on two surfaces, and a curve interior to the state space where two of the three characteristic speeds coincide. Furthermore, the system is linearly degenerate because it is constant along its characteristic vector fields.
MSC:
76S05Flows in porous media; filtration; seepage
76T99Two-phase and multiphase flows
35L67Shocks and singularities
35L65Conservation laws
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References:
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