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Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement - MaRDI portal

Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement (Q1704539)

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Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
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    Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement (English)
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    12 March 2018
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    Chemotaxis-Stokes systems with nonlinear diffusion are studied in three-dimensional domains. Construction of global in time solutions of the initial-boundary value problem is achieved by a combination of energy arguments with the maximal Sobolev regularity theory. These solutions tend to homogeneous steady states as time goes to infinity.
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    nonlinear diffusion
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    maximal Sobolev regularity
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    energy arguments
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