Blowup Behavior of Radial Solutions to Jäger-Luckhaus System in High Dimensional Domains

By T. Senba. 2005

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A Chemotaxis System with Logistic Source (2007, background): “…time or exist globally (see, for instance, Gajewski and Zacharias, 1998; Herrero and Velázquez, 1997a,b; Horstmann and Wang, 2001; Nagai, 1995, 2001; Senba, 2005; Senba and Suzuki, 2001; cf. also Jäger and Luckhaus, 1992 for a closely related problem and Horstmann, 2003 or Suzuki, 2005 for a…”
Nondegeneracy of blow-up points for the parabolic Keller–Segel system (2014, unknown): “For N 3, there exist radial type I blow-up solutions which are backward self-similar [17,39,43], i.”
On a parabolic–elliptic system with gradient dependent chemotactic coefficient (2018, result): “(1.5) The problem for p = 2 has been already analyzed by different authors, starting with the work of Jäger and Luckhaus [22] and Biler [8], and [9], see also Nagai [25], Senba [31], Naito and Suzuki [26], Blanchet, Dolbeault and Perthame [11], Blanchet, Carrillo and Masmoundi [10] among others.”