For the critical flux-limited chemotaxis system in a ball, all radially symmetric solutions exist globally below mass m_c, blow up in finite time above m_c, and aggregate at the center exactly at m_c.
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Mass threshold for global existence in chemotaxis systems with critical flux limitation
For the critical flux-limited chemotaxis system in a ball, all radially symmetric solutions exist globally below mass m_c, blow up in finite time above m_c, and aggregate at the center exactly at m_c.