Rafael Orive
Autonomous University of Madrid
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Publication
Featured researches published by Rafael Orive.
Siam Journal on Mathematical Analysis | 2002
Carlos Conca; Rafael Orive; Muthusamy Vanninathan
The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in this paper. As is well known, the homogenization process in a classical framework is concerned with the study of asymptotic behavior of solutions
Nonlinearity | 2009
Angel de Castro; Diego Córdoba; Francisco Gancedo; Rafael Orive
u^\varepsilon
Mathematical Models and Methods in Applied Sciences | 2001
Rafael Orive; Enrique Zuazua; A. F. Pazoto
of boundary value problems associated with such operators when the period
Journal of Mathematical Physics | 2007
Diego Córdoba; Francisco Gancedo; Rafael Orive
\varepsilon>0
Journal of Mathematical Physics | 2006
Carlos Conca; Rafael Orive; M. Vanninathan
of the coefficients is small. In a previous work by C. Conca and M. Vanninathan [SIAM J. Appl. Math., 57 (1997), pp. 1639--1659], a new proof of weak convergence as
Pure and Applied Geophysics | 2015
Rafael Orive; María Luisa Osete; Jesús Ildefonso Díaz Díaz; José Fernández
\varepsilon\to 0
Multiscale Modeling & Simulation | 2005
Rafael Orive; Enrique Zuazua
towards the homogenized solution was furnished using Bloch wave decomposition.Following the same approach here, we go further and introduce what we call Bloch approximation, which will provide energy norm approximation for the solution
Archive | 2007
Diego Córdoba; Francisco Gancedo; Rafael Orive
u^\varepsilon
Asymptotic Analysis | 2009
Delphine Dupuy; Rafael Orive; Loredana Smaranda
. We develop several of its main features. As a simple application of this new object, we show that it contains both the first and second order correctors. Necessarily, the Bloch approximation will have to captur...
Glasgow Mathematical Journal | 2009
Julián Fernández Bonder; Rafael Orive; Julio D. Rossi
In this paper we study heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcys law. We show the formation of singularities with infinite energy, and for infinite energy we obtain existence and uniqueness results of strong solutions for the sub-critical and critical cases. We prove the global existence of weak solutions for different cases. Moreover, we obtain the decay of the solution in Lp, for any p ? 2, and the asymptotic behaviour is shown. Finally, we prove the existence of an attractor in a weak sense and, for the sub-critical dissipative case with ? (1, 2], we obtain the existence of the global attractor for the solutions in the space Hs for any s > (N/2) + 1 ? ?.