2 citations · 2 across the 6 of their papers we have counts for
7 papers
Collective coordinate descriptions of a kink in a driven-damped model
Jacek Gatlik, Tomasz Dobrowolski, Jean-Guy Caputo +1
Extending a recent effective theory formulation for the dynamics of kinks in the sine-Gordon model [1], we propose an analogous effective description of kinks. Three differen…
Numerical analysis of scattering on combinatorial graphs
Moysey Brio, Jean-Guy Caputo
We investigate numerically the scattering of waves on discrete graphs. An efficient algorithm is developed to compute the reflection and transmission (spectral) coefficients. We th…
Mathematical analysis of a flux-jump model in superconductivity
Jean-Guy Caputo, Nathan Rouxelin
Type II superconductors can trap a transient magnetic field and become "cryomagnets" that are very useful for applications. During this process, flux jumps i.e. sudden jumps of the…
Tracking disturbances in transmission networks
Jean-Guy Caputo, Adel Hamdi
We study the nonlinear inverse source problem of detecting, localizing and identifying unknown accidental disturbances on forced and damped transmission networks. A first result is…
Radial kinks in a Schwarzschild-like geometry
Jean-Guy Caputo, Tomasz Dobrowolski, Jacek Gatlik +1
We study the propagation of a domain wall (kink) of the model in a radially symmetric environment defined by a gravity source. This source deforms the standard Euclidian metr…
Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model
Cyril Tain, Jean-Guy Caputo, Ionut Danaila
The time-dependent Ginzburg-Landau (TDGL) model requires the choice of a gauge for the problem to be mathematically well-posed. In the literature, three gauges are commonly used: t…
An Abelian Higgs model of pulsed field magnetization in superconductors
Jean-Guy Caputo, Ionut Danaila, Cyril Tain
Pulsed field magnetization leads to trapped magnetic field persistent for long times.We present a one-dimensional model of the interaction between an electromagnetic wave and a sup…