Publications

Anne-Laure Dalibard, Julien Guillod, Antoine Leblond. Long-time behavior of the Stokes-transport system in a channel. Analysis & PDE 18, 1955–2032, 2025.

Long Phan, Alice Gatti, Ziwen Han, Josephina Hu, Hugh Zhang, Sean Shi, Michael Choi, Anish Agrawal, Arnav Chopra, Adam Khoja, Ryan Kim, Jason Hausenloy, Oliver Zhang, Mantas Mazeika, Daron Anderson, Tung Nguyen, Mobeen Mahmood, Fiona Feng, Steven Y. Feng, Haoran Zhao, Michael Yu, Varun Gangal, Chelsea Zou, Zihan Wang, Jessica P. Wang, Pawan Kumar, Oleksandr Pokutnyi, Robert Gerbicz, Serguei Popov, John-Clark Levin, Mstyslav Kazakov, Johannes Schmitt, Geoff Galgon, Alvaro Sanchez, Yongki Lee, Will Yeadon, Scott Sauers, Marc Roth, Chidozie Agu, Søren Riis, Fabian Giska, Saiteja Utpala, Zachary Giboney, Gashaw M. Goshu, Joan of Arc Xavier, Sarah-Jane Crowson, Mohinder Maheshbhai Naiya, Noah Burns, Lennart Finke, Zerui Cheng, Hyunwoo Park, Francesco Fournier-Facio, John Wydallis, Mark Nandor, Ankit Singh, Tim Gehrunger, Jiaqi Cai, Ben McCarty, Darling Duclosel, Jungbae Nam, Jennifer Zampese, Ryan G. Hoerr, Aras Bacho, Gautier Abou Loume, Abdallah Galal, Hangrui Cao, Alexis C Garretson, Damien Sileo, Qiuyu Ren, Doru Cojoc, Pavel Arkhipov, Usman Qazi, Lianghui Li, Sumeet Motwani, Christian Schroeder de Witt, Edwin Taylor, Johannes Veith, Eric Singer, Taylor D. Hartman, Paolo Rissone, Jaehyeok Jin, Jack Wei Lun Shi, Chris G. Willcocks, Joshua Robinson, Aleksandar Mikov, Ameya Prabhu, Longke Tang, Xavier Alapont, Justine Leon Uro, Kevin Zhou, Emily de Oliveira Santos, Andrey Pupasov Maksimov, Edward Vendrow, Kengo Zenitani, Julien Guillod, Yuqi Li, Joshua Vendrow, Vladyslav Kuchkin, Ng Ze-An, et al. (562 additional authors not shown). Humanity's Last Exam. 2025.

Bernard Di Martino, Chourouk El Hassanieh, Edwige Godlewski, Julien Guillod, Jacques Sainte-Marie. Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system. Nonlinearity 38, 015018, 2025.

Julien Guillod. Python Programming for Mathematics. Chapman & Hall/CRC, The Python Series, 2025.

Julien Guillod. Programmation Python par la pratique - 2e édition. Dunod, Sciences Sup, 2024.

Julien Guillod, Vladimír Šverák. Numerical investigations of non-uniqueness for the Navier–Stokes initial value problem in borderline spaces. Journal of Mathematical Fluid Mechanics volume 25, 46., 2023.

Julien Guillod, Mikhail Korobkov, Xiao Ren. Existence and uniqueness for plane stationary Navier–Stokes flows with compactly supported force. Communications in Mathematical Physics 397, 729-762., 2022.

Julien Guillod. Programmation Python par la pratique. Dunod, Sciences Sup, 2021.

Julien Guillod, Guido Schneider, Peter Wittwer, Dominik Zimmermann. Nonlinear stability at the Eckhaus boundary. SIAM Journal on Mathematical Analysis, 2018.

Julien Guillod, Peter Wittwer. Existence and uniqueness of steady weak solutions to the Navier–Stokes equations in $\mathbb{R}^2$. Proceedings of the American Mathematical Society, 2018.

Julien Guillod, Peter Wittwer. Optimal asymptotic behavior of the vorticity of a viscous flow past a two-dimensional body. Journal de Mathématiques Pures et Appliquées, 2017.

Julien Guillod. On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains. Communications in Mathematical Physics, 2017.

Julien Guillod, Peter Wittwer. On the stationary Navier–Stokes equations in the half-plane. Annales Henri Poincaré, 2016.

Julien Guillod. Steady solutions of the Navier–Stokes equations in the plane. arXiv, 2015.

Julien Guillod, Peter Wittwer. Generalized scale-invariant solutions to the two-dimensional stationary Navier–Stokes equations. SIAM Journal on Mathematical Analysis, 2015.

Julien Guillod, Peter Wittwer. Asymptotic behaviour of solutions to the stationary Navier–Stokes equations in two-dimensional exterior domains with zero velocity at infinity. Mathematical Models and Methods in Applied Sciences, 2015.

Julien Guillod. On the stationary Navier–Stokes equations in two dimensions. PhD thesis, Université de Genève, 2015.