Keller–Segel–Navier–Stokes System Involving Tensor-Valued Sensitivity

Abstract Chemotaxis, the biased movement of cells in response to chemical gradients, plays an important role coordinating cell migration many biological phenomena (see Hillen and Painter 2009). For example, fruit fly Drosophila melanogaster navigates up gradients attractive odors during food location, male moths follow pheromone released by female mate location.