Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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Outline of Final Research Achievements |
We have shown some regularity issues of solutions to boundary value problems of the stationary Boltzmann equation, in particular singularity near the boundary and regularity inside the domain. The Boltzmann equation describes the motion of dilute gas molecule, and we consider that the results of this study will contribute to the design of nuclear reactors and aircraft. We also considered the boundary value problem of the stationary transport equation, which is a similar equation to the stationary linearized Boltzmann equation, and succeeded in describing the discontinuity of the solution arising from discontinuous boundary data. This result is expected to be applied to the Diffused Optical Tomography, which is the next generation medical imaging technology using near infrared light.
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