DSpace Coleção:
http://www.repositorio.ufc.br/handle/riufc/65
2019-04-23T18:19:58ZA massa em termos dos tensores de Einstein e Newton e aplicações.
http://www.repositorio.ufc.br/handle/riufc/40947
Título: A massa em termos dos tensores de Einstein e Newton e aplicações.
Autor(es): Sayago, Amilcar Montalban
Abstract: It is shown that the mass and the center of mass of an asymptotically ﬂat Riemannian manifold with noncompact boundary can be computed as the limit, as r goes to inﬁnity, of the integral, over the coordinate sphere of radius r, of expressions in terms of the Einstein and Newton tensors of the manifold. The expression obtained for the mass is then used to give a new proof, for noncompact Euclidean graphs, of the positive mass theorem and the Penrose inequality.2019-03-26T00:00:00ZEstimativas de fronteira para problemas elípticos de perturbação singular na teoria de combustão
http://www.repositorio.ufc.br/handle/riufc/40357
Título: Estimativas de fronteira para problemas elípticos de perturbação singular na teoria de combustão
Autor(es): Silva, José Gleison Carneiro da
Abstract: In this work we study up to the boundary Lipschitz estimates for classes of singular perturbation problems appearing in the combustion theory in the study of ﬂame propagation issues. Here we study problems involving the fully nonlinear equation and quasilinear type equations both involving unbounded force terms (RHS).2016-02-12T00:00:00ZModified mean curvature flow of graphs in riemannian manifolds
http://www.repositorio.ufc.br/handle/riufc/39329
Título: Modified mean curvature flow of graphs in riemannian manifolds
Autor(es): Oliveira, Jocel Faustino Norberto de
Abstract: In this thesis we will prove the existence of solution to the problem of modiﬁed mean curvature ﬂow with smooth initial data. For this purpose we will need a priori estimates to guarantee the use of the theory of parabolic diﬀerential equations, more precisely the quasilinear theory. Our main result is obtained for a smooth, n-dimensional, complete, non-compact manifold with pole. The ambient manifold is a warped-product endowed with a Killing ﬁeld which deﬁnes the warping function. Some geometrical considerations are made in order to encompass particular cases. Evolution equations are calculated in order to be used in the estimates.2018-12-07T00:00:00ZCorrentes, teoria de Morse para variedades com bordo e dualidade de Lefschetz
http://www.repositorio.ufc.br/handle/riufc/38323
Título: Correntes, teoria de Morse para variedades com bordo e dualidade de Lefschetz
Autor(es): Cruz, José Tiago Nogueira
Abstract: Some results obtained by Harvey-Lawson Jr in the Morse-Stokes and Stokes Theorem article will be adapted for onboard varieties when the gradient flow is tangent to the edge. More precisely, given a compact Riemannian manifold with edge, a Morse function with a weak transversality condition and a flat metric in a vicinity of the critical points, we will prove two isomorphisms inspired by the Lefschetz Duality and that rescue the homology of two complexes defined by Kronheimer and Mrowka (Monopoles and Three-Manifolds). The isomorphisms can be with real or integer coefficients. The above results are adapted to a hypersurface contained in a non-mapped variety and a Morse function with gradient field tangent to hypersurface.2018-12-05T00:00:00Z