4 papers
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…
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…
On the finite element method for a nonlocal degenerate parabolic problem
Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque
The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a lin…
On a nonlocal degenerate parabolic problem
Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque
Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solu…