| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
We examined a chemotaxis system with a logistic growth, and global existence and the pattern formation of solutions. For the two- and three-dimensional cases, the global existence of solutions and the existence of exponential attractors were demonstrated by introducing a sublinear secretion term. The two- and three-dimensional pattern formation of the solutions also were investigated by the local bifurcation and the center manifold theory. We studied asymptotic behavior of the stationary solutions to the chemotaxis system, as the chemotactic coefficient tended to infinity.
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