The parabolic–elliptic Keller–Segel system, coupled with the incompressible Navier–Stokes equations, addresses transportation and friction. By incorporating Lévy motion, we establish the well-posedness of the mild solution to the Cauchy problem in homogeneous Besov spaces via the Banach fixed point theorem. The Math Assignment Help in this study proves Lorentz regularity in time and maximal regularity of solutions. For more details, visit:https://www.mathsassignmenthelp.com/
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