Enstrophy dynamics for flow past a solid body with no-slip boundary condition

Aleksei Gorshkov

doi:10.7868/s3034534025040027

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arXiv · 2506.15317

Enstrophy dynamics for flow past a solid body with no-slip boundary condition

Aleksei Gorshkov

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Abstract

In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined body. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier-Stokes system a new equation of the enstrophy dynamics is obtained.

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Aleksei Gorshkov. 2025-06-18. Enstrophy dynamics for flow past a solid body with no-slip boundary condition. https://doi.org/10.7868/s3034534025040027

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