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Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in L-loc(2)(R-3)

Authors
Chae, DonghoWolf, Jorg
Issue Date
Jul-2018
Publisher
ELSEVIER SCIENCE BV
Keywords
Navier-Stokes equations; Existence; Discretely self-similar solutions
Citation
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.35, no.4, pp 1019 - 1039
Pages
21
Journal Title
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume
35
Number
4
Start Page
1019
End Page
1039
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/1986
DOI
10.1016/j.anihpc.2017.10.001
ISSN
0294-1449
1873-1430
Abstract
We prove the existence of a forward discretely self-similar solutions to the Navier-Stokes equations in R(3)x (0, +infinity) for a discretely self-similar initial velocity belonging to L-loc(2)(R-3). (C) 2017 Elsevier Masson SAS. All rights reserved.
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자연과학대학 (수학과)
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