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- W2952554766 abstract "In this paper, we prove the global existence and uniqueness of solution to d-dimensional (for $d=2,3$) incompressible inhomogeneous Navier-Stokes equations with initial density being bounded from above and below by some positive constants, and with initial velocity $u_0in H^s(R^2)$ for $s>0$ in 2-D, or $u_0in H^1(R^3)$ satisfying $|u_0|_{L^2}|na u_0|_{L^2}$ being sufficiently small in 3-D. This in particular improves the most recent well-posedness result in [10], which requires the initial velocity $u_0in H^2(R^d)$ for the local well-posedness result, and a smallness condition on the fluctuation of the initial density for the global well-posedness result." @default.
- W2952554766 created "2019-06-27" @default.
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- W2952554766 date "2013-01-01" @default.
- W2952554766 modified "2023-10-16" @default.
- W2952554766 title "Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density" @default.
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- W2952554766 doi "https://doi.org/10.48550/arxiv.1301.0160" @default.
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