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

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초록

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.

키워드

Navier-Stokes equationsExistenceDiscretely self-similar solutionsPARTIAL REGULARITYWEAK SOLUTIONSSPACE
제목
Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in L-loc(2)(R-3)
저자
Chae, DonghoWolf, Jorg
DOI
10.1016/j.anihpc.2017.10.001
발행일
2018-07
유형
Article
저널명
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
35
4
페이지
1019 ~ 1039