Blowup in infinite time of radial solutions for a parabolic–elliptic system in high-dimensional Euclidean spaces Original Research Article

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.