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- W3105585909 abstract "We are concerned with the Keller--Segel--Navier--Stokes system begin{equation*} left{ begin{array}{ll} rho_t+ucdotnablarho=Deltarho-nablacdot(rho mathcal{S}(x,rho,c)nabla c)-rho m, &!! (x,t)in Omegatimes (0,T), m_t+ucdotnabla m=Delta m-rho m, &!! (x,t)in Omegatimes (0,T), c_t+ucdotnabla c=Delta c-c+m, & !! (x,t)in Omegatimes (0,T), u_t+ (ucdot nabla) u=Delta u-nabla P+(rho+m)nablaphi,quad nablacdot u=0, &!! (x,t)in Omegatimes (0,T) end{array}right. end{equation*} subject to the boundary condition $(nablarho-rho mathcal{S}(x,rho,c)nabla c)cdot nu!!=!nabla mcdot nu=nabla ccdot nu=0, u=0$ in a bounded smooth domain $Omegasubsetmathbb R^3$. It is shown that the corresponding problem admits a globally classical solution with exponential decay properties under the hypothesis that $mathcal{S}in C^2(overlineOmegatimes [0,infty)^2)^{3times 3}$ satisfies $|mathcal{S}(x,rho,c)|leq C_S $ for some $C_S>0$, and the initial data satisfy certain smallness conditions." @default.
- W3105585909 created "2020-11-23" @default.
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- W3105585909 date "2020-05-21" @default.
- W3105585909 modified "2023-09-27" @default.
- W3105585909 title "Asymptotic behavior of classical solutions of a three-dimensional Keller–Segel–Navier–Stokes system modeling coral fertilization" @default.
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- W3105585909 doi "https://doi.org/10.1007/s00033-020-01310-y" @default.
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