World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
7732
World Ranking
1371
National Ranking
76

Overview

Arnaud Debussche is affiliated with the University of Rennes in France and specializes in the field of mathematics. Their research primarily spans advanced topics in mathematical physics, stochastic processes with financial applications, and applied mathematics.

The main fields of study covered by their work include:

  • Mathematics

Within mathematics, Debussche's subfields of study are:

  • Mathematical Physics
  • Finance
  • Molecular Biology
  • Applied Mathematics
  • Statistical and Nonlinear Physics

The topics addressed in their publications show a focus on:

  • Advanced Mathematical Physics Problems
  • Stochastic processes and financial applications
  • Meteorological Phenomena and Simulations
  • Mathematical Biology Tumor Growth
  • Navier-Stokes equation solutions
  • Reservoir Engineering and Simulation Methods
  • Stability and Controllability of Differential Equations

Their publication record includes papers in various venues. Frequent publication outlets are:

  • arXiv (Cornell University)
  • Stochastic Partial Differential Equations Analysis and Computations
  • Journal of the European Mathematical Society
  • Journal of Functional Analysis
  • Journal of Mathematical Fluid Mechanics

Recent papers authored by Arnaud Debussche include:

  • "Second order perturbation theory of two-scale systems in fluid dynamics," published in 2024 in the Journal of the European Mathematical Society
  • "A Consistent Stochastic Large-Scale Representation of the Navier-Stokes Equations," 2023, Journal of Mathematical Fluid Mechanics
  • "Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on T," 2021, Journal of Functional Analysis
  • "Diffusion-approximation in stochastically forced kinetic equations," 2020, Tunisian Journal of Mathematics
  • "Second order perturbation theory of two-scale systems in fluid dynamics," 2022, arXiv (Cornell University)

Their research collaborations show frequent co-authors as:

  • Étienne Mémin
  • Julien Vovelle
  • Bérenger Hug
  • Angelo Rosello
  • Antoine Moneyron

Best Publications

  • Random attractors

    Unknown

  • Stochastic Burgers' equation

    Guiseppe Da Prato;Arnaud Debussche;Roger Temam

  • Strong solutions to the stochastic quantization equations

    Giuseppe Da Prato;Arnaud Debussche

  • The Stochastic Nonlinear Schrödinger Equation in H 1

    A. de Bouard;A. Debussche

  • Scalar conservation laws with stochastic forcing

    Arnaud Debussche;Julien Vovelle

  • Two-Dimensional Navier--Stokes Equations Driven by a Space--Time White Noise

    Giuseppe Da Prato;Arnaud Debussche

  • Stochastic Cahn-Hilliard equation

    Giuseppe Da Prato;Arnaud Debussche

  • Ergodicity for the 3D stochastic Navier–Stokes equations

    Giuseppe Da Prato;Arnaud Debussche

  • A Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise

    A. de Bouard;A. Debussche

  • On the Stochastic Korteweg–de Vries Equation

    A de Bouard;A Debussche

  • Weak approximation of stochastic partial differential equations: the nonlinear case

    Arnaud Debussche

  • Local martingale and pathwise solutions for an abstract fluids model

    Arnaud Debussche;Nathan Glatt-Holtz;Roger Temam

  • On the Cahn-Hilliard equation with a logarithmic free energy

    Arnaud Debussche;Lucia Dettori

  • Numerical simulation of the stochastic Korteweg-de Vries equation

    Arnaud Debussche;Jacques Printems

  • Degenerate parabolic stochastic partial differential equations: Quasilinear case

    Arnaud Debussche;Martina Hofmanová;Julien Vovelle

  • Weak order for the discretization of the stochastic heat equation

    Arnaud Debussche;Jacques Printems

  • Hausdorff dimension of a random invariant set

    A. Debussche

  • White Noise Driven Korteweg–de Vries Equation

    A. de Bouard;A. Debussche;Y. Tsutsumi

  • Convergence of stochastic gene networks to hybrid piecewise deterministic processes

    Alina Crudu;Arnaud Debussche;Aurélie Muller;Ovidiu Radulescu

  • Numerical simulation of focusing stochastic nonlinear Schrödinger equations

    Arnaud Debussche;Laurent Di Menza

  • Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction

    Arnaud Debussche

Frequent Co-Authors

Giuseppe Da Prato
Giuseppe Da Prato Scuola Normale Superiore di Pisa
Roger Temam
Roger Temam Indiana University
Sergio Albeverio
Sergio Albeverio University of Bonn
Peter Imkeller
Peter Imkeller Humboldt-Universität zu Berlin
Viorel Barbu
Viorel Barbu Alexandru Ioan Cuza University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing a Mathematics degree in the USA, exploring related online degrees can open up diverse career opportunities. For those interested in finance, considering the cheapest online master's in finance programs can be a strategic and cost-effective way to enhance quantitative and analytical skills applicable in banking, investment, and risk management sectors.

Business professionals looking to fast-track their careers often benefit from accelerated online MBA programs. These programs offer in-depth business knowledge combined with flexible schedules, making them ideal for mathematicians aiming to integrate mathematical models with business strategies.

In the evolving digital economy, a masters in digital marketing provides a unique intersection of data analytics and marketing expertise. This degree complements mathematical skills by emphasizing data-driven decision-making in marketing campaigns and consumer behavior analysis.

Additionally, those seeking intensive, focused business education might explore one year MBA options. These programs offer rigorous training in leadership and management, allowing mathematics graduates to quickly transition into strategic roles across various industries.

Best Scientists Citing Arnaud Debussche

Trending Scientists

Recently Published Articles