# name
Pointwise descriptions of nearly incompressible vector fields with bounded curl

# metadata.dc.description.abstract[].value
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 $|\operatorname{div} \mathbf{v}|+|\operatorname{curl} \mathbf{v}| \in L^{\infty}$.

# metadata.dc.relation.ispartof[].value
Journal of Mathematical Analysis and Applications, 2022, vol. 512, num.2

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Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Pointwise descriptions of nearly incompressible vector fields with bounded curl