Search results for "DOMAIN"
showing 10 items of 2485 documents
A distributed-memory MPI parallelization scheme for multi-domain incompressible SPH
2022
A parallel scheme for a multi-domain truly incompressible smoothed particle hydrodynamics (SPH) approach is presented. The proposed method is developed for distributed-memory architectures through the Message Passing Interface (MPI) paradigm as communication between partitions. The proposal aims to overcome one of the main drawbacks of the SPH method, which is the high computational cost with respect to mesh-based methods, by coupling a multi-resolution approach with parallel computing techniques. The multi-domain approach aims to employ different resolutions by subdividing the computational domain into non-overlapping blocks separated by block interfaces. The particles belonging to differe…
Approximation of W1, Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
2018
Abstract Let Ω ⊂ R n , n ≥ 4 , be a domain and 1 ≤ p [ n / 2 ] , where [ a ] stands for the integer part of a. We construct a homeomorphism f ∈ W 1 , p ( ( − 1 , 1 ) n , R n ) such that J f = det D f > 0 on a set of positive measure and J f 0 on a set of positive measure. It follows that there are no diffeomorphisms (or piecewise affine homeomorphisms) f k such that f k → f in W 1 , p .
Removable sets for Sobolev spaces
1999
We study removable sets for the Sobolev space W1,p. We show that removability for sets lying in a hyperplane is essentially determined by their thickness measured in terms of a concept of p-porosity.
Uniform, Sobolev extension and quasiconformal circle domains
1991
This paper contributes to the theory of uniform domains and Sobolev extension domains. We present new features of these domains and exhibit numerous relations among them. We examine two types of Sobolev extension domains, demonstrate their equivalence for bounded domains and generalize known sufficient geometric conditions for them. We observe that in the plane essentially all of these domains possess the trait that there is a quasiconformal self-homeomorphism of the extended plane which maps a given domain conformally onto a circle domain. We establish a geometric condition enjoyed by these plane domains which characterizes them among all quasicircle domains having no large and no small bo…
Anisotropic Sobolev homeomorphisms
2011
Let › ‰ R 2 be a domain. Suppose that f 2 W 1;1 loc (›;R 2 ) is a homeomorphism. Then the components x(w), y(w) of the inverse f i1 = (x;y): › 0 ! › have total variations given by jryj(› 0 ) = › fl fl @f fl fl dz; jrxj(› 0 ) = › fl fl @f @y fl fl dz:
Embedding of Sobolev Spaces into Lipschitz Spaces
1989
The main result of the paper is that if Ω is a bounded uniform domain in ℝn and p>n, then the Sobolev space Wl, p(Ω) embeds continously into Cα(Ω), α = 1 - n/p.
An Itô Formula for rough partial differential equations and some applications
2020
AbstractWe investigate existence, uniqueness and regularity for solutions of rough parabolic equations of the form $\partial _{t}u-A_{t}u-f=(\dot X_{t}(x) \cdot \nabla + \dot Y_{t}(x))u$ ∂ t u − A t u − f = ( X ̇ t ( x ) ⋅ ∇ + Y ̇ t ( x ) ) u on $[0,T]\times \mathbb {R}^{d}.$ [ 0 , T ] × ℝ d . To do so, we introduce a concept of “differential rough driver”, which comes with a counterpart of the usual controlled paths spaces in rough paths theory, built on the Sobolev spaces Wk,p. We also define a natural notion of geometricity in this context, and show how it relates to a product formula for controlled paths. In the case of transport noise (i.e. when Y = 0), we use this framework to prove a…
Cuerpos moldeables y vidas modulables: La invención del estado holísticamente saludable como bienestar (integral)
2020
The article argues ?from the Deleuzian concepts of society of control, moulding and modulation and the Rosean theory on the economization and medicalization of life? that the expansion of the concept of health in terms of integral and subjective well-being is the effect of a socio-historical shift in the way we relate to this signifier, and therefore to our bodies and ourselves. We use this interpretative network to analyze the effects that the biopsychosocial health paradigm has had in the context of aesthetic surgery and fitness practice. As a result, we see that the expansion of the concept of health has extended the domain of medicine into the spheres of personal care and physical appea…
La participación cultural de la juventud catalana en el tránsito a una sociedad digital - Dimensiones estructurales y sociotipos
2020
espanolEste articulo proporciona un analisis de las practicas culturales de la juventud catalana en el contexto de la revolucion digital y de su impacto en la reconfiguracion del campo cultural. La investigacion se propone identificar las principales dimensiones que articulan el campo cultural, asi como el modo en que la juventud se agrupa y estratifica en torno a esas dimensiones. El estudio se basa en datos del Barometro de la Comunicacion y la Cultura de Cataluna, una encuesta realizada en 2013 que conto con una muestra de 1.365 jovenes. Los resultados muestran una rearticulacion del espacio cultural que corre en paralelo al proceso de digitalizacion y que no solo supone una redefinicion…
Gender-Differences in Sport and Movement in Finland
1988
Male and female age-cohorts resemble each other quite clearly in their sport involvement. The greatest differences between men and women are shown to be in organized and competitive sports mainly practiced by men, and in so-called "untied" movement (i.e. physical exercise that does not require any pre-arrangements), more of a female domain. The various age-cohorts differ in sport involvement from each other more among men than among women. This is examined from several angles: as a question of role or gender expectations, of different life-situations and possibilities, of different meanings and contents of sport and movement, and of different sport cultures and myths.