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- W2280005136 abstract "We study the Patlak–Keller–Segel (PKS) equations in 2D that describe chemotaxis with an additional advection term. We show that solutions are globally regular for smooth initial data with subcritical mass as long as the flow has nonpositive divergence. For initial data with supercritical mass, numerical simulations suggest that blow-up might be prevented by imposing some strong incompressible advection term." @default.
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- W2280005136 date "2016-01-01" @default.
- W2280005136 modified "2023-09-23" @default.
- W2280005136 title "Global regularity of chemotaxis equations with advection" @default.
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- W2280005136 doi "https://doi.org/10.2140/involve.2016.9.119" @default.
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