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math.AP2023
On stationary Navier-Stokes equations in the upper-half plane
Adrian D. Calderon, Van Le, Tuoc Phan
We study the incompressible stationary Navier-Stokes equations in the upper-half plane with homogeneous Dirichlet boundary condition and non-zero external forcing terms. Existence…
math.OC2023
Energy-minimizing torus-valued maps with prescribed singularities, Plateau's problem, and BV-lifting
Giacomo Canevari, Van Phu Cuong Le
In this paper, we investigate the relation between energy-minimizing torus-valued maps with prescribed singularities, the lifting problem for torus-valued maps in the space BV, and…