Arnaud Debussche

Optical rogue waves

Random attractor for stochastic reaction–diffusion equation with multiplicative noise on unbounded domains

Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor

Recent advances in electromagnetic interference shielding properties of metal and carbon filler reinforced flexible polymer composites: A review

Isogeometric analysis: An overview and computer implementation aspects

Optimal Transport: Old and New

Incremental unknowns, multilevel methods and the numerical simulation of turbulence

Thin-Film Flow Influenced by Thermal Noise

Physics-informed machine learning

Talagrand’s T2-Transportation Inequality and Log-Sobolev Inequality for Dissipative SPDEs and Applications to Reaction-Diffusion Equations*

Physical mechanisms of the rogue wave phenomenon

Isogeometric analysis using T-splines

DGM: A deep learning algorithm for solving partial differential equations

Wetting and spreading

Isogeometric analysis of the Cahn–Hilliard phase-field model

Inertial manifolds and the slow manifolds in meteorology

Approximation of exponential order of the attractor of a turbulent flow

Stochastic Cahn-Hilliard equation

The nonlinear galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows

Numerical simulation of focusing stochastic nonlinear Schrödinger equations

Random attractors

White Noise Driven Korteweg–de Vries Equation

Optimal control of a stochastic heat equation with boundary-noise and boundary-control

Some properties of invariant measures of non symmetric dissipative stochastic systems

On the Cahn-Hilliard equation with a logarithmic free energy