6 citations · 6 across the 3 of their papers we have counts for
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Well-posedness of Keller-Segel systems on compact metric graphs
Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev
Chemotaxis phenomena govern the directed movement of micro-organisms in response to chemical stimuli. In this paper, we investigate two Keller--Segel systems of reaction-advection-…
Stability and bifurcation for logistic Keller--Segel models on compact graphs
Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev
This paper concerns asymptotic stability, instability, and bifurcation of constant steady state solutions of the parabolic-parabolic and parabolic-elliptic chemotaxis models on met…
The Morse and Maslov Indices for Schrödinger Operators
Yuri Latushkin, Alim Sukhtayev, Selim Sukhtaiev
We study the spectrum of Schrödinger operators with matrix valued potentials utilizing tools from infinite dimensional symplectic geometry. Using the spaces of abstract boundary va…