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From the 2 of 17 papers with an AI index.

most citedLocal null controllability of a quasi-linear system and related numerical experiments

8 citations

32 papers

nlin.PS20261 cited

Dynamics of localized solutions in three core coupled waveguides with quasi-periodic nonlinearity

Bruno M. Miranda, Ardiley T. Avelar, Wesley B. Cardoso +1

In this paper we investigate the behavior of localized solutions, specifically solitons, in a system of three coupled waveguides. The nonlinearity is modeled by a quasi-periodic mo…

math.OC20268 cited

Local null controllability of a quasi-linear system and related numerical experiments

Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten +1

This paper concerns the null control of quasi-linear parabolic systems where the diffusion coefficient depends on the gradient of the state variable. In our main theoretical result…

hep-th2026

Compact, long-range and vacuumless regimes controlled by scalar fields in two-dimensional flat and five-dimensional warped geometries

Elisama E. M. Lima, Dionisio Bazeia

The paper analyzes real scalar‑field models in 2D flat space and in a 5D warped AdS background, demonstrating how they can generate compact, long‑range, and vacuumless configuratio…

gr-qc2026

Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences

A. A. Araújo Filho, A. F. Santos, J. A. A. S. Reis +2

The paper derives a gauge‑covariant form of the Raychaudhuri equation for charged particle congruences with Lorentz‑violating dispersion relations, showing how electromagnetic fiel…

gr-qc2026

Rotating black hole shadows in metric-affine bumblebee gravity

Jose R. Nascimento, Ana R. M. Oliveira, Albert Yu. Petrov +3

In this work, we investigate the structure of black hole shadows in the bumblebee gravity model formulated within the metric-affine framework, which incorporates spontaneous Lorent…

gr-qc2026

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity

A. A. Araújo Filho, K. E. L. de Farias, E. Passos +5

We investigate how spontaneous Lorentz symmetry breaking in bumblebee gravity modifies particle dynamics, thermodynamics, and vacuum energy around a static black hole background. S…