Initial–boundary value problems for a system of hyperbolic balance laws arising from chemotaxis

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Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D (2017, background): “1) are very sparse, with widely arbitrary initial data only being treated for the one-dimensional case ([28],[16]).”
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].”
The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties (2016, background): “1) with widely arbitrary initial data have been derived in [39] and [28].”