Explicit solution and fine asymptotics for a critical growth-fragmentation equation

HIGHLIGHTS

  • who: Doumic Marie and van Brunt Bruce from the (UNIVERSITY) have published the research: Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation, in the Journal: (JOURNAL)
  • what: The authors focus here on a critical case where both these reasons appear, namely B(x) ≡ b > 0 - also called "homogeneous fragmentation" - g(x) ≡ xg and k(y, x)=αδ xy=α1, which generalises the binary fission case α=2. The authors investigate in more detail the asymptotic behaviour, based on the estimates obtained and with the help of a rescaling inspired by_[3]. In √ Figure 2 . . .

     

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