Oxford Centre for Nonlinear PDE
نویسندگان
چکیده
— We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes. Résumé (Sur l’unicité de trous noirs stationnaires dans le vide). — On démontre l’unicité de trous noirs de Kerr dans la classe de trous noirs connexes, analytiques, réguliers, non-dégénérés, solutions des équations d’Einstein du vide.
منابع مشابه
Oxford Centre for Nonlinear PDE
For integral functionals initially defined for u ∈ W1,1 by Z
متن کاملA hybrid algorithm for coupling PDE and compartment-based dynamics
A hybrid algorithm for coupling PDE and compartment-based dynamics Jonathan U. Harrison a) and Christian A. Yates b) Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, BA2 7AY, Uni...
متن کاملOxford Centre for Nonlinear PDE
We consider atomic chains with nearest neighbour interactions and study periodic and homoclinic travelling waves which are called wave trains and solitons, respectively. Our main result is a new existence proof which relies on the constrained maximisation of the potential energy and exploits the invariance properties of an improvement operator. The approach is restricted to convex interaction p...
متن کاملOxford Centre for Nonlinear PDE
We consider a 3-dimensional conductor containing an inclusion that can be represented as a cylinder with fixed axis and a small basis. As the size of the basis of the cylinder approaches zero, the voltage perturbation can be described by means of a polarization tensor. We give an explicit characterization of the polarization tensor of cylindrical inclusions in terms of the polarization tensor o...
متن کاملFourth-order numerical solution of a fractional PDE with the nonlinear source term in the electroanalytical chemistry
The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical chemistry. The space fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grunwald- Letnikov discretization of the Ri...
متن کامل