Optimal critical mass in the two dimensional keller-segel model in r

HIGHLIGHTS

• who: Jean Dolbeault and colleagues from the Cu00e9dex, France have published the research: Optimal critical mass in the two dimensional Keller-Segel model in R, in the Journal: (JOURNAL)

SUMMARY

In its simpler form, the Keller and Segel system describing chemotaxis reads  ∂n=∆n - χ∇·(n∇c) x ∈ R2, t > 0,   ∂t    R 1 -∆c=n, c(x, t)=- 2π R2 log |x - y| n(y, t) dy,      n(x, t=0)=n0 (x) > 0 x ∈ R2. The authors assume that the initial data satisfy the following asssumptions: n0 ∈ L1 (R2, (1 + |x|2 . . .

 



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