Document type
ArticleVersion
Published versionPublication date
Publication license
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217559
Pointwise descriptions of nearly incompressible vector fields with bounded curl
Journal Title
Authors
Director/Tutor
Journal ISSN
Volume Title
Related resource
Abstract
Among those nearly incompressible vector fields $\mathbf{v}: \mathbb{R}^n \rightarrow \mathbb{R}^n$ with $|x| \log |x|$ growth at infinity, we give a pointwise characterization of the ones for which curl $\mathbf{v}=D \mathbf{v}-D^t \mathbf{v}$ belongs to $L^{\infty}$. When $n=2$ we can go further and describe, still in pointwise terms, the vector fields $\mathbf{v}: \mathbb{R}^2 \rightarrow \mathbb{R}^2$ for which $|\operatorname{div} \mathbf{v}|+|\operatorname{curl} \mathbf{v}| \in L^{\infty}$.
Subject (English)
Citation
Citation
CLOP, Albert and SENGUPTA, Banhirup. Pointwise descriptions of nearly incompressible vector fields with bounded curl. Journal of Mathematical Analysis and Applications. 2022. Vol. 512, num. 2. ISSN 0022-247X. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/217559