Concept
Théorème d'uniformisation de Riemann
Publications associées (22)
Liquid metal infiltration of silicon based alloys into porous carbonaceous materials. Part I: Modelling of channel filling and reaction phase formation
Ludger Weber, Alberto Ortona, Manoj Kondibhau Naikade
A relation for an adequate pore fraction needed to obtain residual Si and C free composites via reactive Si-X alloy infiltration is presented. The volume ratio of SiC and carbonaceous phase, the composition of the infiltrating liquid and the apparent densi ...
ELSEVIER SCI LTD2022Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic
Jürgpeter Buser, Robert Silhol
We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface S where a short closed geodesic is pinched. If the geodesic separates the surface into two parts, then the Jacobian variety of S develops into a variety that split ...
2020Constraint-aware neural networks for Riemann problems
Jan Sickmann Hesthaven, Deep Ray
Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be satisfied to obtai ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems
Jan Sickmann Hesthaven, Deep Ray
Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be satised to obtain ...
MATHICSE2019Some regularity results for p-harmonic mappings between Riemannian manifolds
Let M be a C-2-smooth Riemannian manifold with boundary and N a complete C-2-smooth Riemannian manifold. We show that each stationary p-harmonic mapping u: M -> N, whose image lies in a compact subset of N, is locally C-1,C-alpha for some alpha is an eleme ...
2019Tensile response of Strain-Hardening Ultra High Performance Fiber Reinforced Concretes under low loading rates and low temperatures
Strain Hardening Ultra High Performance Fiber Reinforced Concretes (SH-UHPFRC) are cementitious materials with exceptional mechanical properties and outstanding durability making them ideal materials for rehabilitation, for the improvement of load carrying ...
EPFL2019Heat flows on hyperbolic spaces
In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere Sn−1,n≥3, can be extended to the n-dimensional hyperbolic space such that the heat f ...
2018Calderón–Zygmund estimates and non-uniformly elliptic operators
We consider a class of non-uniformly nonlinear elliptic equations whose model is given by -div(vertical bar Du vertical bar(p-2)Du a(x) vertical bar Du vertical bar(q-2)Du) = -div(vertical bar F vertical bar Fp-2 a(x)vertical bar F vertical bar Fq-2) where ...
2016Hydraulic performance of stepped spillway aerators and related downstream flow features
Stéphane Christian Olivier Terrier
To protect spillways against cavitation damage, adding a small air concentration to the flow close to the invert is efficient. Aerator performance on smooth chutes was therefore well studied in terms of air entrainment and downstream air concentration deve ...
EPFL2016