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The pointwise estimates of solutions for general Navier-Stokes systems in odd multi-dimensions. (English) Zbl 1110.35061
Summary: This is a continuation of [T. P. Liu, W. K. Wang, Commun. Math. Phys. 196, 145–173 (1998; Zbl 0912.35122)]. We study the time-asymptotic behavior of soluitions to the general Navier-Stokes equations in odd multi-dimensions. Through the pointwise estimates of the Green’s function of the linearized system, we obtain explicit expressions of the time-asymptotic behavior of the solutions and exhibit the weak Huygen’s principle.

MSC:
35Q30 Navier-Stokes equations
35B40 Asymptotic behavior of solutions to PDEs
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35L65 Hyperbolic conservation laws
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