Séminaire Analyse-Probabilités

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Intervenant : SUN Changzhen (CNRS & Laboratoire de Mathématiques de Besançon)
Titre :
On the nonlinear transverse asymptotic stability of line solitary waves for the three-dimensional Euler–Poisson system

Le : 14/04/2026 de : 10:30 à : 11:30
The ionic Euler–Poisson system serves as a hydrodynamic model for plasma, describing the motion of ions interacting with a background electron density. It is known that this three-dimensional system admits a family of one-dimensional solitary waves that propagate in a single direction with exponential localization. In this talk, we investigate the stability of these line solitary waves in the three-dimensional Euler–Poisson system. Since perturbations are allowed to depend on the transverse variables, this is referred to as transverse stability. We show that the line solitary waves are nonlinearly transversely stable: solutions starting close to a line solitary wave exist globally in time and converges in some suitable space to a modulated solitary wave as time tends to infinity.
Salle : A711

Séminaire Analyse-Probabilités

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Intervenant : AYI Nathalie (LJLL)
Titre :
TBA

Le : 19/05/2026 de : 10:30 à : 11:30
TBA
Salle : A711