2 papers
math.AP2024
Euler equations with non-homogeneous Navier slip boundary condition
N. V. Chemetov, S. N. Antontsev
We consider the flow of an { ideal} fluid in a 2D-bounded domain, admitting flows through the boundary of this domain. The flow is described by Euler equations with \textit{non-hom…
math.AP2024
Flux of superconducting vortices through a domain
S. N. Antontsev, N. V. Chemetov
We study a mean-field model of superconducting vortices in a II-type superconductor. We prove the global solvability of the problem about a flux of superconducting vortices through…