Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Grigorios Fournodavlos"'
Publikováno v:
Journal of the American Mathematical Society. 36:827-916
For ( t , x ) ∈ ( 0 , ∞ ) × T D (t,x) \in (0,\infty )\times \mathbb {T}^{\mathfrak {D}} , the generalized Kasner solutions (which we refer to as Kasner solutions for short) are a family of explicit solutions to various Einstein-matter systems th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac225aa3c3db6c30fc48476c9b09822d
https://doi.org/10.1090/jams/1015
https://doi.org/10.1090/jams/1015
Autor:
Grigorios Fournodavlos, Volker Schlue
Publikováno v:
Annales Henri Poincare
Annales Henri Poincare, 2019, 20 (7), pp.2135-2172. ⟨10.1007/s00023-019-00793-4⟩
Annales Henri Poincaré
Annales Henri Poincare, 2019, 20 (7), pp.2135-2172. ⟨10.1007/s00023-019-00793-4⟩
Annales Henri Poincaré
We study spherically symmetric solutions to the Einstein-Euler equations which model an idealized relativistic neutron star surrounded by vacuum. These are barotropic fluids with a free boundary, governed by an equation of state which sets the speed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d31db3c4d03b8f4d9fbbe278f0ac5bff
https://doi.org/10.1007/s00023-019-00793-4
https://doi.org/10.1007/s00023-019-00793-4
Autor:
Grigorios Fournodavlos
Publikováno v:
Journal of Mathematical Physics
We consider solutions to the Einstein-massless-scalar field system with a positive cosmological constant, arising from sufficiently regular, near-FLRW, initial data. We establish global existence in the future direction and derive their precise asymp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd558fa1239c7175f525e0935695e1f2
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geodesic. This provides the first well-posedness result for this specific
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e7ee27351f5c4884e557cc59d972cf3
https://hal.archives-ouvertes.fr/hal-02696274v2/document
https://hal.archives-ouvertes.fr/hal-02696274v2/document
Autor:
Jan Sbierski, Grigorios Fournodavlos
Publikováno v:
Fournodavlos, G & Sbierski, J 2020, ' Generic Blow-Up Results for the Wave Equation in the Interior of a Schwarzschild Black Hole ', Archive for Rational Mechanics and Analysis, vol. 235, no. 2, pp. 927–971 . https://doi.org/10.1007/s00205-019-01434-0
Arch.Ration.Mech.Anal.
Arch.Ration.Mech.Anal., 2020, 235, pp.927-971. ⟨10.1007/s00205-019-01434-0⟩
Arch.Ration.Mech.Anal.
Arch.Ration.Mech.Anal., 2020, 235, pp.927-971. ⟨10.1007/s00205-019-01434-0⟩
We study the behaviour of smooth solutions to the wave equation, $\square_g\psi=0$, in the interior of a fixed Schwarzschild black hole. In particular, we obtain a full asymptotic expansion for all solutions towards $r=0$ and show that it is characte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a2a1d9fa7698f49296ab35a0125ed09
https://www.pure.ed.ac.uk/ws/files/248383224/1804.01941.pdf
https://www.pure.ed.ac.uk/ws/files/248383224/1804.01941.pdf
Publikováno v:
Journal of Statistical Physics. 172:458-476
We consider the dynamics of small closed submanifolds (‘bubbles’) under the volume preserving mean curvature flow. We construct a map from ( $$\text {n}+1$$ )-dimensional Euclidean space into a given ( $$\text {n}+1$$ )-dimensional Riemannian man
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27d82fc9b92d2e9aff33828d02da6436
https://doi.org/10.1007/s10955-018-2041-x
https://doi.org/10.1007/s10955-018-2041-x
Publikováno v:
Journal of Hyperbolic Differential Equations
Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2019, 16 (02), pp.379-400. ⟨10.1142/S0219891619500140⟩
Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2019, 16 (02), pp.379-400. ⟨10.1142/S0219891619500140⟩
We consider the wave equation, [Formula: see text], in fixed flat Friedmann–Lemaître–Robertson–Walker and Kasner spacetimes with topology [Formula: see text]. We obtain generic blow up results for solutions to the wave equation toward the Big
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb8ca578256ad6d7c1aa0d04790b6a47
https://hal.sorbonne-universite.fr/hal-02967520/document
https://hal.sorbonne-universite.fr/hal-02967520/document
Publikováno v:
Journal of Mathematical Analysis and Applications. 408:744-750
In the present article we obtain generic approximations, under sharp conditions, of holomorphic functions on arbitrary open sets by sequences of their Pade approximants. Similar results hold for functions smooth on the boundary of their domain of def
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efbb8a54b757af12dc56a2b3333a209c
https://doi.org/10.1016/j.jmaa.2013.06.048
https://doi.org/10.1016/j.jmaa.2013.06.048
Autor:
Grigorios Fournodavlos
We study the backwards-in-time stability of the Schwarzschild singularity from a dynamical PDE point of view. More precisely, considering a spacelike hypersurface $\Sigma_0$ in the interior of the black hole region, tangent to the singular hypersurfa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b27939fc9cdf45644ac5622df0fe761f
We introduce certain spherically symmetric singular Ricci solitons and study their stability under the Ricci flow from a dynamical PDE point of view. The solitons in question exist for all dimensions $n+1\ge 3$, and all have a point singularity where
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b45e484a5306075bf4e8e27f929488f7
http://arxiv.org/abs/1304.6449
http://arxiv.org/abs/1304.6449