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Abstract In this paper, we are concerned with a system coupling the parabolic–parabolic Keller–Segel system to the viscous incompressible Navier–Stokes equations in spatial dimensions three, and prove the global existence… Click to show full abstract
Abstract In this paper, we are concerned with a system coupling the parabolic–parabolic Keller–Segel system to the viscous incompressible Navier–Stokes equations in spatial dimensions three, and prove the global existence of solutions with small initial data in critical Besov spaces with minimal regularity order by using the elementary paradifferential calculus and a special type of iteration scheme.
Keywords:
global existence;
existence critical;
critical besov;
besov spaces
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!