Some new integral identities for solenoidal fields and applications
type: Item
instance of: scholarly article
title: Some new integral identities for solenoidal fields and applications
zbMATH Open document ID: 1372.76034
author: Vladimir I. Semenov
published in: Mathematics
publication date: 2014-08-27T00:00:00Z
review text: Summary: In spaces \(R^n\), \(n\geq 2\), it has been proved that a solenoidal vector field and its rotor satisfy the series of new integral identities which have covariant form. The interest in them is explained by hydrodynamics problems for an ideal fluid.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q31
zbMATH DE Number: 6334883
zbMATH Keywords: rotor
zbMATH Keywords: solenoidal vector field
zbMATH Keywords: potential vector field
zbMATH Keywords: Euler equations
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
full work available at URL: math2010029
OpenAlex ID: W2047762561
cites work: On the behavior of an incompressible fluid velocity field at infinity
cites work: On the localization of symmetric and asymmetric solutions of the Navier-Stokes equations in \(\mathbb{R}^n\)
cites work: Q5825924
cites work: Approximation of potential and solenoidal vector fields
cites work: Q5723392
cites work: The initial value problem for the Navier-Stokes equations with data in L\(^p\)
DOI: 10.3390/MATH2010029
description: scientific article; zbMATH DE number 6334883