2 papers
math.AP2025
Explicit Formula of the Infinite Energy Solutions for the Exterior 2D Div-Curl Problem with Dirichlet Boundary Condition
Aleksei Gorshkov
In the paper we study the 2D div-curl problem in the exterior domain which models the flow with given vorticity, divergency, boundary condition at infinity, and Dirichlet condition…
math.AP2025
Enstrophy dynamics for flow past a solid body with no-slip boundary condition
Aleksei Gorshkov
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 arti…