Zobrazeno 1 - 10
of 269
pro vyhledávání: '"ISENBERG, JAMES"'
We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct application of the conformal method does not lead to a decoupling of the equati
Externí odkaz:
http://arxiv.org/abs/2406.17945
Kr\"oncke has shown that the Fubini-Study metric is an unstable generalized stationary solution of Ricci flow [Kr\"o20]. In this paper, we carry out numerical simulations which indicate that Ricci flow solutions originating at unstable perturbations
Externí odkaz:
http://arxiv.org/abs/2403.06427
The asymptotic behavior of expanding, generic, $T^2$-Symmetric, vacuum spacetimes is examined via numerical simulations. After validation of the numerical methods, the properties of these generic spacetimes are explored and compared to non-generic su
Externí odkaz:
http://arxiv.org/abs/2304.04632
We prove that the Ricci flow for complete metrics with bounded geometry depends continuously on initial conditions for finite time with no loss of regularity. This relies on our recent work where sectoriality for the generator of the Ricci-DeTurck fl
Externí odkaz:
http://arxiv.org/abs/2303.04800
We present simple conditions which ensure that a strongly elliptic operator $L$ generates an analytic semigroup on H\"older spaces on an arbitrary complete manifold of bounded geometry. This is done by establishing the equivalent property that $L$ is
Externí odkaz:
http://arxiv.org/abs/2210.15886
In previous work [GIKW21], we have presented evidence from numerical simulations that the Type-II singularities of mean curvature flow (MCF) of rotationally-symmetric, complete, noncompact embedded hypersurfaces constructed in [IW19, IWZ21] are stabl
Externí odkaz:
http://arxiv.org/abs/2206.01890
We prove that both the Laplacian on functions, and the Lichnerowicz Laplacian on symmetric 2-tensors with respect to asymptotically hyperbolic metrics, are sectorial maps in weighted H\"older spaces. As an application, the machinery of analytic semig
Externí odkaz:
http://arxiv.org/abs/2109.00096
Publikováno v:
Phil. Trans. R. Soc. A 380: 20210173 (2022)
We prove the nonlinear stability of the asymptotic behavior of perturbations of subfamilies of Kasner solutions in the contracting time direction within the class of polarised $T^2$-symmetric solutions of the vacuum Einstein equations with arbitrary
Externí odkaz:
http://arxiv.org/abs/2108.02886
Autor:
Isenberg, James, Maxwell, David
We present a uniform (and unambiguous) procedure for scaling the matter fields in implementing the conformal method to parameterize and construct solutions of Einstein constraint equations with coupled matter sources. The approach is based on a phase
Externí odkaz:
http://arxiv.org/abs/2106.15027
We present a numerical study of the local stability of mean curvature flow of rotationally symmetric, complete noncompact hypersurfaces with Type-II curvature blowup. Our numerical analysis employs a novel overlap method that constructs "numerically
Externí odkaz:
http://arxiv.org/abs/2105.06613