Boundedness in a three‐dimensional chemotaxis‐Stokes system modeling coral fertilization with arbitrarily slow p‐Laplace diffusion

Ji Liu

Mathematische Nachrichten, 2021, vol. 294, issue 11, 2200-2208

Abstract: A chemotaxis‐Stokes system modeling coral fertilization under the effects of p‐Laplace diffusion is investigated in spatially three‐dimensional setting. By making appropriate use of certain conditional estimates for chemotactic signal gradient and the fluid velocity, we prove global existence and boundedness under a mild assumption that p>2, which extends previous results derived in [8].

Date: 2021
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https://doi.org/10.1002/mana.202100103

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