In this article, we present an enhanced algorithm, of low complexity, for the tracking of partials in the context of sinusoidal modeling. By considering the past evolution of each partial in the time/frequency and time/amplitude planes to predict its future evolutions, this algorithm allows a better discrimination between sinusoidal and noisy components and an easier cancellation of sudden chan...

Elliptic problems appear naturally in physics mainly in two situations: as equations which describe equilibrium (for example, stationary solutions in General Relativity) and as constraints for the evolutions equations (for example, constraint equations in Electromagnetism and General Relativity). In addition, in General Relativity they appear often as gauge conditions for the evolutions equatio...

Using a post-Newtonian diagnostic tool developed by Mora and Will, we examine numerically generated quasiequilibrium initial data sets that have been used in recently successful numerical evolutions of binary black holes through plunge, merger and ringdown. We show that a small but significant orbital eccentricity is required to match post-Newtonian and quasiequilibrium calculations. If this pr...

Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by c...

We construct a scalar field based cosmological model, possessing a cosmological singularity characterized by a finite value of the cosmological radius and an infinite scalar curvature. Using the methods of the qualitative theory of differential equations, we give a complete description of the cosmological evolutions in the model under consideration. There are four classes of evolutions, two of ...

Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by c...

The course will give a brief overview of the variational theory for gradient flows and rate-independent evolutions, trying to focus on the most important aspects: variational approximations, convergence results, energy-dissipation inequalities and metric characterization for gradient flows; energetic descriptions, BV solutions and optimal jump transitions, viscous approximations in the case of ...

The widespread deployment of communication networks has facilitated the sharing and exchange of spatial data between producers and users spread out over different locations. These users are not necessarily located at the same sites neither belong to the same organizations, but must cooperate. Spatial data is used to help user making decision in this context. Data is updated in parallel, dependi...

The ZrSiS-type materials have attracted intensive attention due to the existence of various topological fermions. magnetic version materials, $\mathit{Ln}\mathrm{SbTe} (Ln=\mathrm{lanthanides})$, is an ideal candidate explore novel exotic states interaction between magnetism and topology. In this work, we report experimental study on structural, magnetic, thermodynamic, electronic properties fo...