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Article: Data from F. Asakura et al provide new insights into mathematics.
- Article from:
- Journal of Mathematics
- Article date:
- November 17, 2009
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According to recent research published in the Journal of Hyperbolic Differential Equations, "This article analyzes the existence of viscous shock profiles joining two states satisfying the Rankine-Hugoniot condition that comes from hyperbolic 2 x 2 systems of conservation laws having quadratic flux functions with an isolated umbilic point: the point where the characteristic speeds coincide and the Jacobian matrix of the flux functions is diagonalizable. The systems studied in this note are particularly in Schaeffer and Shearer's cases I and II which are relevant to the three-phase Buckley-Leverett model for oil reservoir flow."
"It is shown that any compressive ...