Blowup in infinite time of radial solutions for a parabolic elliptic system in high-dimensional Euclidean spaces
نویسنده
چکیده
We consider radial solutions blowing up in infinite time to a parabolicelliptic system in N -dimensional Euclidean space. The system was introduced to describe the gravitational interaction of particles. In the case where N ≥ 2, we can find positive and radial solutions blowing up in finite time. In the present paper, in the case where N ≥ 11, we find positive and radial solutions blowing up in infinite time and investigate those blowup speeds, by using so called asymptotic matched expansion techniques and parabolic regularity.
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