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Unformatted text preview: as the parameter on the initial line, show that unless f ( ) < c , no breaking occurs. 9. Consider the one-dimensional Form oF Eulers equations For isentropic ow and assume that the pressure p is a constant. The equations reduce to t + u x + u x = 0 u t + uu x = 0 Let u ( x, 0) = f ( x ) and ( x, 0) = g ( x ). By rst solving the equation For u and then the equation For , obtain the implicit solution u = f ( x ut ) = g ( x ut ) 1 + tf ( x ut ) 246...
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- Fall '08