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20222025
most citedStochastic complex Ginzburg-Landau equation on compact surfaces

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.AP2025★ 1 cited

Stochastic complex Ginzburg-Landau equation on compact surfaces

Tristan Robert, Younes Zine

We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After ren…

math.AP2024

Infinite dimensional invariant tori for nonlinear Schrödinger equations

Joackim Bernier, Benoit Grébert, Tristan Robert

We prove that nonlinear Schrödinger equations on the circle, without external parameters, admits plenty of almost periodic solutions. Indeed, we prove that arbitrarily close to mos…

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

Anderson stochastic quantization equation

Hugo Eulry, Antoine Mouzard, Tristan Robert

We study the parabolic defocusing stochastic quantization equation with both mutliplicative spatial white noise and an independant space-time white noise forcing, on compact surfac…

math.AP2022

Variational methods for some singular stochastic elliptic PDEs

I. Bailleul, H. Eulry, T. Robert

We use some tools from nonlinear analysis to study two examples of singular stochastic elliptic PDEs that cannot be solved by the contraction principle or the Schauder fixed point…