output
19982026
most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

Showing 2024 · math.APShow all

17 papers · 2 filters

math.AP2024

Localization of bubbling for high order nonlinear equations

Frédéric Robert

We analyze the asymptotic pointwise behavior of families of solutions to the high-order critical equation that…

math.AP2024

Cancellations for dispersive PDEs with random initial data

Yvain Bruned, Leonardo Tolomeo

In this work, we provide a combinatorial formalism for dealing with the cancellations that have appeared recently in the context of dispersive PDEs with random initial data. The ma…

math.AP2024

Stabilization of a perturbed quintic defocusing Schrödinger equation in

Pablo Braz e Silva, Roberto de A. Capistrano-Filho, Jackellyny Dassy do Nascimento Carvalho +1

This article addresses the stabilizability of a perturbed quintic defocusing Schrödinger equation in at the --energy level, considering the influence of a dam…

math.AP2024

Regularization by noise for some strongly non-resonant modulated dispersive PDEs

Tristan Robert

In this work, we pursue our investigations on the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. We show that i…

math.AP2024

Remarks on nonlinear dispersive PDEs with rough dispersion management

Tristan Robert

In this work, we study the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. Under minimal assumptions on the occu…

math.AP2024

Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach

Clément Cancès, Léonard Monsaingeon, Andrea Natale

We propose a fully discrete finite volume scheme for the standard Fokker-Planck equation. The space discretization relies on the well-known square-root approximation, which falls i…