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- Université Toulouse III - Paul SabatierFR936 papers
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14 papers · 2 filters
On Lebesgue points of entropy solutions to the eikonal equation
Xavier Lamy, Elio Marconi
We consider entropy solutions to the eikonal equation in two space dimensions. These solutions are motivated by a class of variational problems and fail in general t…
Stability of Cnoidal Waves for the Damped Nonlinear Schrödinger Equation
Paolo Antonelli, Boris Shakarov
We consider the cubic nonlinear Schrödinger (NLS) equation with a linear damping on the one dimensional torus and we investigate the stability of some solitary wave profiles within…
Analysis of a two-layer energy balance model: long time behaviour and greenhouse effect
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the…
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition
David Lafontaine, Euan A. Spence
We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high-frequency) using semiclassical…
Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system
Pascal Noble, Luis Miguel Rodrigues, Changzhen Sun
The present work shows that essentially all small-amplitude periodic traveling waves of the electronic Euler-Poisson system are spectrally unstable. This instability is neither mod…
Acoustic waveguide with a dissipative inclusion
Lucas Chesnel, Jérémy Heleine, Sergei A. Nazarov +1
We consider the propagation of acoustic waves in a waveguide containing a penetrable dissipative inclusion. We prove that as soon as the dissipation, characterized by some coeffici…