Author

Julien Guillod

Observed name: Guillod, Julien

Institutions: École Normale Supérieure - PSL, Sorbonne Université

Observed institutions: University of Geneva, Centre National de la Recherche Scientifique, University of Minnesota, Institut national de recherche en sciences et technologies du numérique, Princeton University, Université Paris Cité, Université Paris Sciences et Lettres, École Normale Supérieure - PSL, Sorbonne Université, Département de mathématiques et applications, Laboratoire Jacques-Louis Lions, ANGE: Analyse Numérique, Géophysique et Environnement

ORCID: 0000-0001-5035-5422

Observed ORCID: 0000-0001-5035-5422

OpenAlex ID: A5050460341

A benchmark of expert-level academic questions to assess AI capabilities

2026 · Long Phan, Alice Gatti, et al. · Nature · 61

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Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces

2023 · Julien Guillod, Vladimír Šverák · Journal of Mathematical Fluid Mechanics · 52

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Generalized Scale-Invariant Solutions to the Two-Dimensional Stationary Navier--Stokes Equations

2015 · Julien Guillod, Peter Wittwer · SIAM Journal on Mathematical Analysis · 16

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Nonlinear Stability at the Eckhaus Boundary

2018 · Julien Guillod, Guido Schneider, et al. · SIAM Journal on Mathematical Analysis · 10

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On the Asymptotic Stability of Steady Flows with Nonzero Flux in Two-Dimensional Exterior Domains

2016 · Julien Guillod · Communications in Mathematical Physics · 10

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Existence and uniqueness of steady weak solutions to the Navier–Stokes equations in ℝ²

2018 · Julien Guillod, Peter Wittwer · Proceedings of the American Mathematical Society · 9

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Steady solutions of the Navier-Stokes equations in the plane

2015 · Guillod, Julien · arXiv (Cornell University) · 9

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Asymptotic behaviour of solutions to the stationary Navier–Stokes equations in two-dimensional exterior domains with zero velocity at infinity

2014 · Julien Guillod, Peter Wittwer · Mathematical Models and Methods in Applied Sciences · 8

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Differential Equations

2024 · Julien Guillod · Chapman & Hall/CRC eBooks · 7

Optimal asymptotic behavior of the vorticity of a viscous flow past a two-dimensional body

2017 · Julien Guillod, Peter Wittwer · Journal de Mathématiques Pures et Appliquées · 7

Existence and Uniqueness for Plane Stationary Navier–Stokes Flows with Compactly Supported Force

2022 · Julien Guillod, Mikhail Korobkov, et al. · Communications in Mathematical Physics · 5

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Long-time behavior of the Stokes-transport system in a channel

2025 · Anne-Laure Dalibard, Julien Guillod, et al. · Analysis & PDE · 4

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On the Stationary Navier–Stokes Equations in the Half-Plane

2016 · Julien Guillod, Peter Wittwer · Annales Henri Poincaré · 4

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Homogeneous Structures

2024 · Julien Guillod · Chapman & Hall/CRC eBooks · 2

Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system

2024 · Bernard Di Martino, Chourouk El Hassanieh, et al. · Nonlinearity · 1

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Python Programming for Mathematics

2024 · Julien Guillod · Chapman & Hall/CRC eBooks · 1

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Data Structures

2024 · Julien Guillod · Chapman & Hall/CRC eBooks · 1

Nonuniqueness in fluid models

2026 · Guillod, Julien · Institut Henri Poincaré

2026 · Albritton, Dallas, Guillod, Julien, et al. · arXiv (Cornell University)

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A benchmark of expert-level academic questions to assess AI capabilities

2026 · Center for AI Safety, Phan, Long, et al. · RWTH Publications (RWTH Aachen)

Cryptography