Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Huneau Cecile"'
Autor:
Huneau, Cécile, Luk, Jonathan
We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization o
Externí odkaz:
http://arxiv.org/abs/2404.07659
Autor:
Huneau, Cécile, Luk, Jonathan
We prove Burnett's conjecture in general relativity when the metrics satisfy a generalized wave coordinate condition, i.e., suppose $\{g_n\}_{n=1}^\infty$ is a sequence of Lorentzian metrics (in arbitrary dimensions $d \geq 3$) satisfying a generaliz
Externí odkaz:
http://arxiv.org/abs/2403.03470
In this paper we show the classical global stability of the flat Kaluza-Klein spacetime, which corresponds to Minkowski spacetime in $\m R^{1+4}$ with one direction compactified on a circle. We consider small perturbations which are allowed to vary i
Externí odkaz:
http://arxiv.org/abs/2307.15267
Autor:
Huneau, Cécile, Vâlcu, Caterina
The aim of this article is to construct initial data for the Einstein equations on manifolds of the form R n+1 x T m , which are asymptotically flat at infinity, without assuming any symmetry condition in the compact direction. We use the conformal m
Externí odkaz:
http://arxiv.org/abs/2111.14395
Autor:
Huneau, Cécile, Stingo, Annalaura
Publikováno v:
Analysis & PDE 17 (2024) 2033-2075
We consider a system of quasilinear wave equations on the product space $\mathbb{R}^{1+3}\times \mathbb{S}^1$, which we want to see as a toy model for Einstein equations with additional compact dimensions. We show global existence for small and regul
Externí odkaz:
http://arxiv.org/abs/2110.13982
Autor:
Huneau Cecile, Belcram Harry, Shcherban Andrey B, Adonina Irina G, Sergeeva Ekaterina M, Salina Elena A, Chalhoub Boulos
Publikováno v:
BMC Plant Biology, Vol 11, Iss 1, p 99 (2011)
Abstract Background Transposable elements (TEs) are a rapidly evolving fraction of the eukaryotic genomes and the main contributors to genome plasticity and divergence. Recently, occupation of the A- and D-genomes of allopolyploid wheat by specific T
Externí odkaz:
https://doaj.org/article/7fd02201cddb4e59bf1f0f5951e62849
Autor:
Huneau Cecile, Belcram Harry, Afonnikov Dmitry A, Shcherban Andrey B, Adonina Irina G, Sergeeva Ekaterina M, Salina Elena A, Chalhoub Boulos
Publikováno v:
BMC Genomics, Vol 10, Iss 1, p 414 (2009)
Abstract Background Telomeric and subtelomeric regions are essential for genome stability and regular chromosome replication. In this work, we have characterized the wheat BAC (bacterial artificial chromosome) clones containing Spelt1 and Spelt52 seq
Externí odkaz:
https://doaj.org/article/3f8dc6e7dd0744c684450c5deadf3ab2
Autor:
Huneau, Cécile, Luk, Jonathan
Consider a sequence of $C^4$ Lorentzian metrics $\{h_n\}_{n=1}^{+\infty}$ on a manifold $\mathcal M$ satisfying the Einstein vacuum equation $\mathrm{Ric}(h_n)=0$. Suppose there exists a smooth Lorentzian metric $h_0$ on $\mathcal M$ such that $h_n\t
Externí odkaz:
http://arxiv.org/abs/1907.10743
Autor:
Huneau, Cécile, Luk, Jonathan
Publikováno v:
Duke Math. J. 167, no. 18 (2018), 3315-3402
Known examples in plane symmetry or Gowdy symmetry show that given a $1$-parameter family of solutions to the vacuum Einstein equations, it may have a weak limit which does not satisfy the vacuum equations, but instead has a non-trivial stress-energy
Externí odkaz:
http://arxiv.org/abs/1706.09501
Autor:
Huneau, Cécile, Luk, Jonathan
We prove local existence of solutions to the Einstein--null dust system under polarized $\mathbb U(1)$ symmetry in an elliptic gauge. Using in particular the previous work of the first author on the constraint equations, we show that one can identify
Externí odkaz:
http://arxiv.org/abs/1706.09499