Existence and regularity of the pressure for the stochastic Navier-Stokes equations

We prove, on one hand, that for a convenient body force with values in the distribution space (H−1(D))d, where D is the geometric domain of the fluid, there exist a velocity u and a pressure p solution of the stochastic Navier-Stokes equation in dimension 2, 3 or 4. On the other hand, we prove that, for a body force with values in the dual space V0 of the divergence free subspace V of (H1 0(D))d, in general it is not possible to solve the stochastic Navier-Stokes equations. More precisely, although such body forces have been considered, there is no topological space in which Navier-Stokes equations could be meaningful for them.Ministerio de Ciencia y TecnologíaFondo Europeo de Desarrollo Regiona

The conception and role of interdisciplinarity in the Spanish education system

This article provides an overview of the role that interdisciplinarity plays in the Spanish education system. With this aim, we first describe the main conception of the term interdisciplinarity in texts written in Spanish, including other terms that have similar meaning. Then we review the role of interdisciplinarity in the Spanish curriculum at different levels of education, focusing fundamentally on compulsory education. This serves as the basis from which later to analyze Spanish research on interdisciplinarity. Finally, through results of this research and some examples of interdisciplinary school practices, we extract conclusions about the role of interdisciplinarity in teaching practices in the classroom

Auxiliary Companies of the Horticultural Sector as a Competitiveness Element: The Case of Almeria (Spain)

The horticultural model of Almeria (Spain) based on the operation of greenhouses is an international reference and has been considered as an economic miracle. Alongside this agricultural development has been the deployment of the diverse productive activity of auxiliary companies. The objective of this article is to understand how these companies operate and analyze their factors of competitiveness, competing needs, and future competitive improvements, taking as reference four of the most important subsectors (machinery, greenhouse infrastructure, plastics, and seeds). The Delphi method was used and through a panel of experts the conditioning factors of each of the variables to be analyzed (factors, needs, and competitiveness improvements) was chosen. Of the 120 companies that were sent questionnaires, 72 participated. The sectors that make up the auxiliary companies are heterogeneous and therefore the results obtained have differed among them. The synergies between the greenhouse crops and the auxiliary companies are an example of diversification of productive activity that can be extrapolated to other production areas worldwide. The future of the auxiliary companies is linked to that of the intensive agriculture and the key variables must be underscored by competitiveness and sustainability

Interpretación mítica del firmamento: de Cicerón a San Isidoro de Sevilla.

Desde la más remota antiguedad, el cielo llamó la atención de los hombres, incapaces de comprender el significado de las luces centelleantes que aparecían cada noche en él. Los astrólogos quisieron veren ellas una estrecha relación con la vida humana: las reunieron en grupos imaginarios y las clasificaron como constelaciones, adjudicándoles los nombres de sus dioses, héroes y animales de fábula. Así nacieron las constelaciones del Cisne, del Escorpión, del Cangrejo, etc. Más tarde, los griegos bautizaron algunas con los nombres de sus héroes mitológicos, como Hércules, Andrómeda u Orión. A través de los textos latinos, que van desde Cicerón hasta Isidoro de Sevilla, pretendemos establecer la relación existente entre el mito y los nombres de las constelaciones

Three dimensional system of globally modified navier-Stokes equation with delay

We prove the existence and uniqueness of strong solutions of a three-dimensional system of glob-ally modified Navier–Stokes equations with delay in the locally Lipschitz case. The asymptoticbehavior of solutions, and the existence of pullback attractor are also analyzed

Three-dimensional system of globally modified Navier-Stokes equations with delay

We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier–Stokes equations with delay in the locally Lipschitz case. The asymptotic behavior of solutions, and the existence of pullback attractor are also analyzed

Pullback Attractors for Globally Modified Navier-Stokes Equations with Infinite Delays

Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to the stationary solution

Asymptotic Behaviour of the Three-Dimensional Á-Navier-Stokes Model with Locally Lipschitz Delay Forcing Terms

We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ®¡Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and locally Lipschitz continuous

Asymptotic Behaviour of Solutions for a Three Dimensional System of Globally Modified Navier-Stokes Equations with a Locally Lipschitz Delay Term

Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem, and, under suitable assumptions, we prove that there exists a unique stationary solution, which is globally asymptotically exponentially stable

On The Convergence of Solutions of Globally Modified Navier-Stokes Equations with Delays To Solutions of Navier-Stokes Equations with Delays

We prove that under suitable assumptions, from a sequence of solutions of globally modified Navier-Stokes equations with delays we can extract a subsequence which converges in an adequate sense to a weak solution of a three-dimensional Navier-Stokes equation with delays. An additional case with a family of different delays involved in the approximating problems is also discussed