Liouville Theorem for 2D Navier-Stokes Equations in a Half Space

Journal of Mathematical Sciences - Tập 210 Số 6 - Trang 849-856 - 2015
Gregory Seregin1
1Oxford University

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Tài liệu tham khảo

Y. Giga, “Remarks on a Liouville problem with boundary for the Stokes and the Navier–Stokes equations,” Discrete Cont. Dynam. Syst., Ser. S, 6, 1277–1289 (2013).

H. Jia, G. Seregin, and V. Sverak, “Liouville theorems in unbounded domains for the time-dependent stokes system,” J. Math. Phys., 53, 115604 (2012).

H. Jia, G. Seregin, and V. Sverak, “A Liouville theorem for the Stokes system in half-space,” Zap Nauchn. Semin. POMI, 410, 25–35 (2013).

G. Koch, N. Nadirashvili, G. Seregin, and V. Sverak, “Liouville theorems for Navier–Stokes equations and applications,” Acta Math., 203, No. 1, 83–105 (2009).

G. Seregin and V. Sverak, “On type I singularities of the local axi-symmetric solutions of the Navier–Stokes equations,” Comm. PDE’s, 34, 171–201 (2009).

G. Seregin and V. Sverak, “Rescalings at possible singularities of Navier–Stokes equations in half space,” arXiv:1302.0141 (2013), to appear in St.Petersburg Math. J.

V. A. Solonnikov, “On nonstationary Stokes problem and Navier–Stokes problem in a half space with initial data nondecreasing at infinity,” J. Math. Sci., 114, No. 5, 1726–1740 (2003).