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http://repositorio.unicamp.br/jspui/handle/REPOSIP/341963
Type: | Artigo |
Title: | Bilinear estimates and uniqueness for Navier-Stokes equations in critical Besov-type spaces |
Author: | Ferreira, L.C.F. Pérez-López, J.E. |
Abstract: | We show bilinear estimates for the Navier–Stokes equations in critical Besov-weak-Morrey (BWM) spaces that contain the so-called Besov–Morrey (BM) spaces. Our estimates employ only the norm of the natural persistence space and do not use auxiliary norms like, e.g., Kato time-weighted norms. As a corollary, we obtain the uniqueness of mild solutions in the class of continuous functions from [0 , ∞) to critical BWM-spaces and, in particular, to BM-spaces. For our purposes, we need to show interpolation properties, heat semigroup estimates, and a characterization of preduals (of BWM-spaces) that are Besov-type spaces based on Lorentz-block ones. Another ingredient is a product estimate in our setting. |
Subject: | Espaços de Besov Navier-Stokes, Equações de |
Country: | Alemanha |
Editor: | Springer |
Rights: | Fechado |
Identifier DOI: | 10.1007/s10231-019-00883-4 |
Address: | https://link.springer.com/article/10.1007/s10231-019-00883-4 |
Date Issue: | 2019 |
Appears in Collections: | IMECC - Artigos e Outros Documentos |
Files in This Item:
File | Description | Size | Format | |
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2-s2.0-85068176529.pdf | 471.03 kB | Adobe PDF | View/Open |
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