Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity

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Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion (2016, background): “the overview in [37] and references cited therein) and also their stability has been investigated ([19],[27]).”
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D (2017, background): “y type of cell kinetics, which is known to be vital for such eﬀects in standard reaction-diﬀusion equations. For studies on existence and stability properties of traveling wave solutions of (1.1) see [32, 17, 20] and references therein. The results on global existence to systems of the form (1.1) ar”
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability (2019, background): “[3, 4, 6, 13, 21, 23–26]), global well-posedness and/or asymptotic behavior of solutions (see [5, 8, 19, 20, 22, 28, 33, 37, 42, 43] in one dimensional bounded or unbounded space and [7, 9, 18, 22, 32, 35, 39, 41] in multidimensional spaces) and boundary layer solutions [10–12].”