| 28/2003 |
W.A.R. vs. AIAS Waldyr A. Rodrigues Jr. In this paper I show that Myron Evans' - representing AIAS - commentary in reference to a paper that I authored with A.L. Trovon de Carvalho entitled: "The non sequitur mathematics and physics of the 'New Electrodynamics' proposed by the AIAS group", published in the journal Random Operators and Stochastic Equations 9, 161-206 (2001), can be classified as: (i) mathematical and/or physical nonsense and fallacies, (ii) lies. Detailed proofs of the above statements will be given due to the fact that Evans and the AIAS group have succeeded in publishing in some journals (including, e.g., Found. Phys. Lett., Optik, Physica A and B, etc.) a remarkable potpourri of nonsense mathematics and physics. Most recently Evans has announced widely that new papers are in publication and others are submitted. Among the many lies told by Evans - representing AIAS - is that of the paternity of the superluminal X-waves solutions of the homogeneous and Maxwell wave equations. This issue is discussed in an Appendix.  rp-2003-28.pdf |
| 27/2003 |
The Leray's problem for a viscous incompressible micropolar fluid Fábio Vitoriano e Silva This work concerns the steady motion of a viscous incompressible micropolar fluid in unbounded domains having cylindrical outlets to infinity. We prove the existence of a solution that approaches a prescribed parallel solution along the outlets of the domain. We also study the uniqueness, the regularity and the asymptotic behavior of the solution. rp-2003-27.pdf |
| 26/2003 |
Some relations between variational-like inequality problem and the efficient solutions of the vectorial optimization problem Lucelina Batista dos Santos, Marko A. Rojas-Medar, Gabriel Ruiz-Garzón, A. Rufián-Lizana In this work, we study the equivalence between the solutions of variational-like inequality problem and the solutions of some nonsmooth, non-convex vectorial optimization problem. rp-2003-26.pdf |
| 25/2003 |
A real integral by means of complex integration Edmundo Capelas de Oliveira, Ary O. Chiacchio We present and discuss a class of real integrals involving a hyperbolic function by means of complex integration, and we obtain an integral representation, which appear in several fields of physics, including statistical mechanics, condensed matter and quantum optics and more in the so called dispersion relations. . rp-2003-25.pdf |
| 24/2003 |
Tensor product theorems in positive characteristic Sergio S. Azevedo, Marcello Fidelis, Plamen Koshlukov In this paper we study tensor products of T-prime T-ideals over infinite fields. The behaviour of these tensor products over afield of characteristic 0 was described by Kemer. First we show, using methods due to Regev, that such a description holds if one restricts oneself to multilinear polynomials only. Second, applying graded polynomial identities, we prove that the tensorproduct theorem fails for the T-ideals of the algebras $M_{1,1}(E)$ and $E\otimes E$ where $E$ is the infinite dimensional Grassmann algebra; $M_{1,1}(E)$ consists of the $2\times 2$ matrices over $E$ having even (i.e. central) elements of $E$, and the other diagonal consisting of odd (anticommuting) elements of $E$. Then we pass to other tensor products and studythe respective graded identities. We obtain new proofs of some cases of Kemer's tensor product theorem. Note that these proofs do not depend on the structure theory of T-ideals but are ``elementary'' ones. Finally, using graded identities once gain,we show that the tensor product theorem fails in one more case when the base field is of positive characteristic. All this comesto show once more that the structure theory of T-ideals is essentially about the multilinear polynomial identities. rp-2003-24.pdf |
| 23/2003 |
Invariant CMC Surfaces in H²xR Stefano Montaldo, Irene I. Onnis We explicitly classify elicoidal and translational constant mean curvature surfaces in $\h^2\times \r$. rp-2003-23.pdf |
| 22/2003 |
Sobre uma integral de contorno para a função hipergeométrica Edmundo Capelas de Oliveira, Ary O. Chiacchio rp-2003-22.pdf |
| 21/2003 |
Invexity Generalized and Weakly Efficient Solutions for Some Vectorial Optimization Problem in Banach Spaces Lucelina Batista dos Santos, Rafaela Osuna-Gómez, Marko A. Rojas-Medar, Antonio Rufián-Lizana In this work we use the notion of vectorial critical point and Karush-Kuhn-Tucker critical point for some class of vectorial optimization problems between Banach spaces. By using these notions, we obtain a characterization for weakly efficient solutions for such optimization problems. rp-2003-21.pdf |
| 20/2003 |
Método de Petrov-Galerkin Não Linear para o Sistema de Água Rasa Margarete O. Domingues, Sônia M. Gomes rp-2003-20.pdf |
| 19/2003 |
A Tridimensional Phase-Field Model with Convection for Change Phase of an Alloy José Luiz Boldrini, Gabriela Planas We consider a tridimensional phase-field model for a solidification/melting non-stationary process, which incorporatesthe physics of binary alloys, thermal properties and fluid motion of non-solidified material. The model is a free-boundary valueproblem consisting of a non-linear parabolic system including a phase-field equation, a heat equation, a concentration equationand a variant of the Navier-Stokes equations modified by a penalization term of Carman-Kozeny type to model the flow in mushy regions and a Boussinesq type term to take into account the effects of the differences in temperature and concentration in the flow. A proof of existence of generalized solutions for the system is given. For this, the problem is firstly approximated and a sequence of approximate solutions is obtained by Leray-Schauder's fixed point theorem. A solution of the original problem is then found by using compactness arguments. rp-2003-19.pdf |
