Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843673 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 14 Pages |
Abstract
We consider radial solutions blowing up in infinite time to a parabolic–elliptic system in NN-dimensional Euclidean space. The system was introduced to describe the gravitational interaction of particles. In the case where N≥2N≥2, we can find positive and radial solutions blowing up in finite time. In the present paper, in the case where N≥11N≥11, we find positive and radial solutions blowing up in infinite time and investigate those blowup speeds, by using the so-called asymptotic matched expansion techniques and parabolic regularity.
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Authors
Takasi Senba,