Revista Matemática Complutense

Revista Matemática Complutense https://revistas.ucm.es/index.php/REMA Revista Matemática Complutense (ISSN 1139-1138, ISSN-e 1988-2807), currently published three times a year, it includes original or literature reviews that are carefully selected from all areas of Mathematics including the “Conferenciante Santaló” article, written by a designated prestigious mathematician. Since January 2010, Springer has been responsible for its publication es-ES LICENCE OF USE: The full text articles included on the Scientific Journals of the Complutense website are open access and the property of their authors and/or publishers. Therefore, any reproduction, distribution, public communication and/or total or partial transformation requires their express and written consent. Links to the full text of the articles on the Scientific Journals of the Complutense website should be to the official URL of the Complutense University of Madrid. revista_matematica@mat.ucm.es (José María Arrieta Algarra) prod.ediciones@ucm.es (Ediciones Complutense) Mon, 27 Jul 2009 00:00:00 +0000 OJS 3.3.0.8 http://blogs.law.harvard.edu/tech/rss 60 Navier-Stokes/darcy coupling: modeling, analysis, and numerical approximation https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220315A This paper is an overview of known and new results about the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through porous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-posedness and to characterize effective algorithms to compute the solution of its numerical approximation. Marco Discacciati, Alfio Quarteroni Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220315A Mon, 27 Jul 2009 00:00:00 +0000 Coincidence of some classes of universal functions https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220427A Let Ω a domain in the complex plane such that Ω satisfies appropriate geometrical and topological properties. We prove that if f is a holomorphic function in Ω, then its Taylor series, with center at any ξ Є Ω , is universal with respect to overconvergence if and only if its Cesáro (C, k)-means are universal for any real k > −1. This is an extension of the same result, proved recently by F. Bayart, for any integer k ≥ 0. As a consequence, several classes of universal functions introduced in the related literature are shown to coincide. Emmanuel S. Katsoprinakis Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220427A Mon, 27 Jul 2009 00:00:00 +0000 Monodromy zeta-functions of deformations and Newton diagrams https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220447A For a one-parameter deformation of an analytic complex function germ of several variables, there is defined its monodromy zeta-function. We give a Varchenko type formula for this zeta-function if the deformation is non-degenerate with respect to its Newton diagram. Gleb Gusev Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220447A Mon, 27 Jul 2009 00:00:00 +0000 Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220455A We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for the Kottman separation constant of Orlicz sequence spaces equipped with the Luxemburg norm. Sylvain Delpech Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220455A Mon, 27 Jul 2009 00:00:00 +0000 Weighted composition operators between spaces of Dirichlet type https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220469A In this work we characterize boundedness and compactness of weighted composition operators acting between Dirichlet type spaces by using Carleson measures. We also find essential norm estimates for these operators. Sanjay Kumar Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220469A Mon, 27 Jul 2009 00:00:00 +0000 The SL(2,C)-character varieties of torus knots https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220489A Let G be the fundamental group of the complement of the torus knot of type (m, n). This has a presentation G = ‹x, y | xm‪‪= yⁿ›. We find the geometric description of the character variety X(G) of characters of representations of G into SL(2,C). Vicente Muñoz Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220489A Mon, 27 Jul 2009 00:00:00 +0000 Symmetrization and sharp Sobolev inequalities in metric spaces https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220499A We derive sharp Sobolev inequalities for Sobolev spaces on metric spaces. In particular, we obtain new sharp Sobolev embeddings and Faber-Krahn estimates for H¨ormander vector fields. Mario Milman, Jan Kališ Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220499A Mon, 27 Jul 2009 00:00:00 +0000 Erratum to “Fundamental groups of some special quadric arrangements” https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220517A This erratum relates to our work “Fundamental groups of some special quadric arrangements”. The original Theorems 2.2, 2.5, 2.8 and Propositions 2.3(ii)(iii), 2.6(ii)(iii), 2.9(ii)(iii) have wrong results. They need to be rephrased. Corollaries 2.4 and 2.7 are incomplete, and they are extended. We add a new Corollary 2.10, which does not appear in the original paper. Proposition 3.1 has a wrong result and it is rephrased and reproved. In Proposition 4.1 and its Corollary 4.2 a slight error has occurred: as the correct proofs in the paper show, the monodromy is a quadruple fulltwist. Meirav Amram, Mina Teicher Copyright (c) https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220517A Mon, 27 Jul 2009 00:00:00 +0000