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Convergence Rates and Fluctuations for the Stokes–Brinkman Equations as Homogenization Limit in Perforated Domains

We study the homogenization of the Dirichlet problem for the Stokes equations in R3 perforated by m spherical particles. We assume the positions and velocities of the particles to be identically and independently distributed random variables. In the critical regime, when the radii of the particles are of order m-1, the homogenization limit u is given as the solution to the Brinkman equations. We p

The validity of students’ conceptions of differentiability and continuity

University students’ conceptions of differentiability, continuity and relationsbetween these concepts were studied to reveal their choices of representationsand their strategies to justify their relational claims. Questionnaires and interviews were used to collect data. The results were analysed and categorizedthrough a framework based on understanding as connections between concepts,and a theory

Uncertainty quantification for physics-informed deep learning

The development of physics-informed deep learning is radically changing compu-tational science and engineering, allowing for an effective integration ofphysics-based and datadriven modeling. Deep learning provides a powerful tool forthe discovery of governing dynamics underneath data and enables nonlinear model-reduction. A Bayesian viewpoint of deep learning is discussed in this chapter towards t

I en värld av ting

Sedan antiken har humanismen försökt definiera den mänskliga naturens väsen samtidigt som den placerar människan i universums centrum som ”alla tings mått”. I ett försök att omvärdera människans betydelse har det talats om ett slags transhumanistisk intersubjektivitet. Jag utgår från fysikern och feministen Karen Barads begrepp intraaktion (samspel mellan integrerade delar). Barad myntar begreppet

Into the Paucity of Anxious Isolation: Time-Space Appropriation and the Liberalization of Suffering

“Capacity building” in DRM is typically approached through an access model that normalizes technical transfers of innovations from ‘developed’ to ‘developing’ areas. Through a framework of world systems political ecology, normalization of this flow is shown to be a mystification of the social relations of exchange that undergird the manufacture of such innovations. “Capacity building” turns out to