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7 papers · 1 filter
Boundary regularity for the polyharmonic Dirichlet problem
Antoine Lemenant, Rémy Mougenot
In this paper we prove that any solution of the -polyharmonic Poisson equation in a Reifenberg-flat domain with homogeneous Dirichlet boundary condition, is $\mathscr{C}^{m-1,α}…
On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory
Wolfgang Bertram
We take up Dedekind's question ''Was sind und was sollen die Zahlen?'' (''What are numbers, and would should they be?''), with the aim to describe the place that Conway's (Surreal)…
The refractory-to-ice ratio in comet 67P: implications on the composition of the comet-forming region of the protoplanetary disk
Raphael Marschall, Alessandro Morbidelli, Yves Marrocchi
Comets, asteroids, and other small bodies are thought to be remnants of the original planetesimal population of the Solar System. As such, their physical, chemical, and isotopic pr…
Interaction energies in nematic liquid crystal suspensions
Lia Bronsard, Xavier Lamy, Dominik Stantejsky +1
We establish, as , an asymptotic expansion for the minimal Dirichlet energy of -valued maps outside a finite number of three-dimensional particles of size …
An individual-based stochastic model reveals strong constraints on allometric relationships with minimal metabolic and ecological assumptions
Sylvain Billiard, Virgile Brodu, Nicolas Champagnat +1
We design a stochastic individual-based model structured in energy, for single species consuming an external resource, where populations are characterized by a typical energy at bi…
Finite-size scaling in the ageing dynamics of the Glauber-Ising model
Malte Henkel
Single-time and two-time correlators are computed exactly in the Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length , using a s…