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- W4221102422 abstract "We introduce the planar helical flows on three dimensional torus and study the dissipation enhancement of such flows. We then use such flows as transport flows to solve the three dimensional advective Kuramoto-Sivashinsky and Keller-Segel equations. The global well-posedness of the Kuramoto-Sivashinsky equation is achieved when the linearized operator does not have growing mode in the direction transverse to the flow. The global classical solution of the three dimensional Keller-Segel is ensured for any size of the torus with arbitrarily large initial data." @default.
- W4221102422 created "2022-04-03" @default.
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- W4221102422 date "2022-03-01" @default.
- W4221102422 modified "2023-10-02" @default.
- W4221102422 title "Dissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equations" @default.
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- W4221102422 doi "https://doi.org/10.1016/j.jde.2021.12.029" @default.
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