7 papers
On fractional semilinear wave equations in non-cylindrical domains
Mauro Bonafini, Van Phu Cuong Le, Riccardo Molinarolo
In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet conditions. Under mild regul…
-convergence of the -Dirichlet energy for manifold-valued maps
Giacomo Canevari, Van Phu Cuong Le, Ramon Oliver-Bonafoux +1
We prove a -convergence result for the -Dirichlet energy functional defined on maps from a smooth bounded domain to , a -con…
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…
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…
Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks
Sisto Baldo, Van Phu Cuong Le, Annalisa Massaccesi +1
We investigate the relation between energy minimizing maps valued into spheres having topological singularities at given points and optimal networks connecting them (e.g. Steiner t…
Weak solutions for nonlinear waves in adhesive phenomena
Mauro Bonafini, Van Phu Cuong Le
We discuss a notion of weak solution for a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on resu…