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20082026
most citedOn the dynamics of a non-local parabolic equation arising from the Gierer-Meinhardt system

21 citations · 43 across the 19 of their papers we have counts for

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math.AP2021★ 1 cited

Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters

G. K. Duong, T. E. Ghoul, N. I. Kavallaris +1

We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equation with power nonlinearity, where the nonlinear term is divided by some Sobolev no…

math.DG2021

Gradient inequality and convergence of the normalized Ricci flow

Nikos I. Kavallaris, Takashi Suzuki

We study the problem of convergence of the normalized Ricci flow evolving on a compact manifold without boundary. In \cite{KS10, KS15} we derived, via PDE techniques, global-in…