The authors establish well-posedness of the outer chemotaxis-Euler system and of the boundary layer profiles arising in the ε→0 limit of the 2D chemotaxis-Navier-Stokes system with logarithmic sensitivity under Navier-slip conditions.
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Boundary layer analysis for the 2D chemotaxis-Navier-Stokes system with logarithmic sensitivity, Part I: Well-posedness
The authors establish well-posedness of the outer chemotaxis-Euler system and of the boundary layer profiles arising in the ε→0 limit of the 2D chemotaxis-Navier-Stokes system with logarithmic sensitivity under Navier-slip conditions.