[HTML][HTML] Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport
In this paper we describe a fast algorithm for generating periodic RVEs of polycrystalline
materials. In particular, we use the damped Newton method from semi-discrete optimal …
materials. In particular, we use the damped Newton method from semi-discrete optimal …
Entropic optimal transport solutions of the semigeostrophic equations
JD Benamou, CJ Cotter, H Malamut - Journal of Computational Physics, 2024 - Elsevier
The semigeostrophic equations are a frontogenesis model in atmospheric science.
Existence of solutions both from the theoretical and numerical point of view is given under a …
Existence of solutions both from the theoretical and numerical point of view is given under a …
[图书][B] The mathematics of large-scale atmosphere and ocean
M Cullen - 2021 - World Scientific
Accurate extended-range weather predictions are now routinely available for up to a week
ahead, and represent a major scientific achievement of the meteorological community over …
ahead, and represent a major scientific achievement of the meteorological community over …
Well-posedness and convergence of entropic approximation of semi-geostrophic equations
G Carlier, H Malamut - arXiv preprint arXiv:2404.17387, 2024 - arxiv.org
We prove existence and uniqueness of solutions for an entropic version of the semi-
geostrophic equations. We also establish convergence to a weak solution of the semi …
geostrophic equations. We also establish convergence to a weak solution of the semi …
Monge-Ampere Geometry and the Eady Problem
R D'Onofrio, G Ortenzi, I Roulstone - arXiv preprint arXiv:2405.09218, 2024 - arxiv.org
Chynoweth and Sewell proposed a mathematical model for an atmospheric front based on
the singularities of the Legendre transformation between different pairs of dual variables …
the singularities of the Legendre transformation between different pairs of dual variables …
[PDF][PDF] A geometric approach to isoperimetric problems and the semigeostrophic system
L Silini - 2024 - research-collection.ethz.ch
This thesis discusses two distinct topics: the hyperbolic isoperimetric problem and the well
posedness of the semigeostrophic system in the spherical setting. The first part adresses the …
posedness of the semigeostrophic system in the spherical setting. The first part adresses the …