| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
In the present research, we consider existence and asymptotic stability of a boundary layer solution for general symmetric systems of hyperbolic and parabolic equations. For the existence of the boundary layer solution, we show that the dimension of a local stable manifold associated with the stationary problem is given by the number of the negative characteristic speeds. For the related symmetric system of parabolic equations, we obtain the algebraic convergence rate of solutions toward the degenerate boundary layer solution. We also show that the critical value of the weight exponent is equal to 5. Concerning the result for the scalar viscous conservation laws, the result obtained in the present research is seemed to be optimal.
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