In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type R(epsilon) = {(x(1), x(2)) is an element of R(2) vertical bar x(1) is an element of (0, 1), 0 < ...

In this paper, we analyze the behavior of a family of solutions of a nonlinear elliptic equation with nonlinear boundary conditions, when the boundary of the domain presents a highly oscillatory behavior, which is uniformly ...

In this paper, we analyze the behavior of solutions of the Neumann problem posed in a thin domain of the type R ϵ = {(x1, x2) ∈ R 2 | x1 ∈ (0,1), −ϵb(x1) < x2 < ϵG(x1, x1/ϵα )} with α > 1 and ϵ > 0, defined by smooth ...

In this paper, we investigate the behavior of a family of steady-state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a e-neighborhood of a portion G of the ...

Preliminary results of an experimental study on the incipient motion of granular, non-cohesive particles in a laminar oscillatory flow of water and power law fluids are presented in this paper. The threshold condition is ...

In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal ...

The possibility of using a dynamic environment to achieve and optimize phase synchronization in a network of self-excited cells with free-end boundary conditions is addressed in this paper. The dynamic environment is an ...

We are concerned with the asymptotic behavior of a dynamical system generated by a family of semilinear parabolic systems with reaction and potential terms concentrating in a neighborhood of a portion of the boundary. ...