Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity

Affiliation:	1. Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, DCM-USP, CEP 14040-901 Ribeirão Preto, SP, Brazil;2. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile;1. Department of Mathematics, Government Brennen College, Dharmadam, Thalassery, Kerala 670106, India;2. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, India;1. School of Mathematics and Computational Science, Changsha University of Science & Technology, 410114 Hunan, China;2. School of Mathematics and Computational Science, Xiangtan University, 411105 Hunan, China

Abstract:	In this Note, we give a new proof of the uniqueness of mild solutions of the Navier-Stokes equation in C([0,T) ; (L³(ℝ³))³). The main tool of the proof is the maximal L^p-regularity of the Laplacian in (L³ (ℝ³))³.

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