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publications
Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators
Published in Electronic Journal of Differential Equations (EJDE), 2021
Recommended citation: Usman Hafeez, Theo Lavier, Lucas Williams, Lyudmila Korobenko. (2021) "Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators." EJDE. No. 82, pp. 1-19
An immersed boundary vector potential-vorticity meshless solver of the incompressible Navier–Stokes equation
Published in Int J Numer Meth Fluids, 2022
Recommended citation: Bourantas GC, Zwick BF, Lavier TP, et al. An immersed boundary vector potential-vorticity meshless solver of the incompressible Navier–Stokes equation. Int J Numer Meth Fluids. 2023; 95(1): 143–175. doi:10.1002/fld.5146
Semi-Discrete Optimal Transport Techniques for the Compressible Semi-Geostrophic Equations
Published in arXiv, 2025
Recommended citation: David Bourne, Charlie Egan, Theo Lavier, Beatrice Pelloni. (2025) "Semi-Discrete Optimal Transport Techniques for the Compressible Semi-Geostrophic Equations."
Optimal Transport Techniques for Atmospheric Dynamics
Published in Heriot-Watt University, 2025
Recommended citation: Théo Philippe Lavier. (2025). "Optimal Transport Techniques for Atmospheric Dynamics." Heriot-Watt University.
A Semi-Discrete Optimal Transport Scheme for the 3D Incompressible Semi-Geostrophic Equations
Published in IMA Journal of Applied Mathematics, 2025
Recommended citation: Théo Lavier, A semi-discrete optimal transport scheme for the 3D incompressible semi-geostrophic equations, IMA Journal of Applied Mathematics, 2025; hxaf023, https://doi.org/10.1093/imamat/hxaf023