Now showing items 1-10 of 76
Solutions of the Oppenheimer--Volkoff Equations Inside 9/8$^{ths}$ of the Schwarzschild Radius
(Springer-Verlag; Springer-Verlag Berlin Heidelberg, 1997-03)
We refine the Buchdahl 9/8 ths stability theorem for stars by describing quantitatively the behavior of solutions to the Oppenheimer–Volkoff equations when the star surface lies inside 9/8 ths of the Schwarzschild radius. ...
A mass zero cluster expansion. Part 1: The Expansion
(Springer-Verlag, 1981-09)
A cluster expansion is developed and applied to study the perturbation λ(Δφ) 4 of the massless lattice field φ in dimension 3. The method is loosely inspired by the work of Gawedzki and Kupiainen on block spin techniques ...
Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations
(Springer-Verlag, 1993-01)
We prove the existence of infinitely-many globally defined singularity-free solutions, to the EYM equations with SU (2) gauge group. The solutions are indexed by a coupling constant, have distinct winding numbers, and their ...
Ondelettes and phase cell cluster expansions, a vindication
(Springer-Verlag, 1987-09)
Y. Meyer has recently developed a particularly useful o.n. basis for L 2 ( R d ). Expansions using this basis, i.e. expansions into “ondelettes” or “wavelets,” have yielded important new results in soft and hard analysis. ...
Example of a potential in one-dimensional scattering problem for which there are infinitely many purely imaginary resonances
(Elsevier, 1987-10-05)
The inverse scattering theory methods are used to construct a real-valued potential q(r)[epsilon]C[infinity]0([0, R]), where R>0 is an arbitrary fixed number, which gives rise to infinitely many purely imaginary resonances. ...
On Travelling Waves for the Stochastic Fisher–Kolmogorov–Petrovsky–Piscunov Equation
(Kluwer Academic Publishers-Plenum Publishers; Springer Science+Business Media, Inc., 2005-08)
This paper is concerned with properties of the wave speed for the stochastically perturbed Fisher–Kolmogorov–Petrovsky–Piscunov (FKPP) equation. It was shown in the classical 1937 paper by Kolmogorov, Petrovsky and Piscunov ...
Infinite Prandtl Number Convection
(Kluwer Academic Publishers-Plenum Publishers; Kluwer Academic/Plenum Publishers ; Springer Science+Business Media, 1999-01)
We prove an inequality of the type N ≤ CR 1/3 (1+log + R ) 2/3 for the Nusselt number N in terms of the Rayleigh number R for the equations describing three-dimensional Rayleigh–Bénard convection in the limit of infinite ...
A phase cell approach to Yang-Mills theory
(Springer-Verlag, 1987-06)
In this paper the basic local stability result is obtained, in a form valid in both small field and large field regions. To achieve this, some modifications are made in both the action and the renormalization group ...
Renormalization of some one-space dimensional quantum field theories by unitary transformation
(Elsevier, 1971-11)
The one-space dimensional interaction is renormalized by unitary transformation. A uniformly convergent sequence of unitary operators is defined which transforms the sequence of cut-off Hamiltonians, arranged in order of ...
New Realizations of the Maximal Satake Compactifications of Riemannian Symmetric Spaces of Noncompact Type
(Kluwer Academic Publishers; Springer Science+Business Media, 2004-07)
We give new realizations of the maximal Satake compactifications of Riemannian symmetric spaces of noncompact type as orbit closures inside Grassmannians and orthogonal groups. Our constructions are partially motivated by ...