Zobrazeno 1 - 10
of 3 504
pro vyhledávání: '"Rodrigues, L. A."'
We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations.
Comment: 29 pages, 1 figure
Comment: 29 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2409.01663
We develop a complete stability theory for two-dimensional periodic traveling waves of reaction-diffusion systems. More precisely, we identify a diffusive spectral stability assumption, prove that it implies nonlinear stability and provide a sharp as
Externí odkaz:
http://arxiv.org/abs/2408.14869
Autor:
Garénaux, Louis, Rodrigues, L. Miguel
We fill the two main remaining gaps in the full classification of non-degenerate planar traveling waves of scalar balance laws from the point of view of spectral and nonlinear stability/instability under smooth perturbations. On one hand we investiga
Externí odkaz:
http://arxiv.org/abs/2401.06677
Autor:
Rodrigues, L. M., Fagundes, L. Marques, Salles, D. C., Santos, G. H. dos, Kondo, J. M., Khoury, A. Z., Ribeiro, P. H. Souto, de Araújo, R. Medeiros
We experimentally demonstrate resonance of first-order vector vortex beams (VVB) with a triangular optical cavity. We also show that, due to their symmetry properties, the so-called radial and azimuthal VVBs do not resonate at the same cavity length,
Externí odkaz:
http://arxiv.org/abs/2310.15391
Extending work of Yang-Zumbrun for the hydrodynamically stable case of Froude number F < 2, we categorize completely the existence and convective stability of hydraulic shock profiles of the Saint Venant equations of inclined thin-film flow. Moreover
Externí odkaz:
http://arxiv.org/abs/2307.10657
In this note, we extend the detailed study of the linearized dynamics obtained for cnoidal waves of the Korteweg--de Vries equation in \cite{JFA-R} to small-amplitude periodic traveling waves of the generalized Korteweg-de Vries equations that are no
Externí odkaz:
http://arxiv.org/abs/2306.00376
We study for the Richard-Gavrilyuk model of inclined shallow water flow, an extension of the classical Saint Venant equations incorporating vorticity, the new feature of convective-wave solutions analogous to contact discontinuitis in inviscid conser
Externí odkaz:
http://arxiv.org/abs/2209.11909
Publikováno v:
Computers in Biology and Medicine, Volume 87, 2017, Pages 38-45, ISSN 0010-4825
This work proposes the use of Genetic Algorithms (GA) in tracing and recognizing the pericardium contour of the human heart using Computed Tomography (CT) images. We assume that each slice of the pericardium can be modelled by an ellipse, the paramet
Externí odkaz:
http://arxiv.org/abs/2208.14375
Autor:
Faye, Grégory, Rodrigues, L. Miguel
For strictly entropic Riemann shock solutions of strictly hyperbolic systems of balance laws, we prove that exponential spectral stability implies large-time asymptotic orbital stability. As a preparation, we also prove similar results for constant s
Externí odkaz:
http://arxiv.org/abs/2207.12686
Autor:
Blochas, Paul, Rodrigues, L. Miguel
The present contribution proves the asymptotic orbital stability of viscous regularizations of stable Riemann shocks of scalar balance laws, uniformly with respect to the viscosity/diffusion parameter $\epsilon$. The uniformity is understood in the s
Externí odkaz:
http://arxiv.org/abs/2201.13436