[PDF] Top 20 Control in fluid mechanics and boundary layers

... equations in fluid mechanics. We are mostly interested in Burgers equation and Navier-Stokes equa- ...even in the presence of boundary ...proceeds in two phases: ... Voir le document complet

... appears in system (6). In order to have an evolution equation in the form of a controlled system, we write an extended system by considering g as a new state variable and by introducing f := g ... Voir le document complet

... immersed in a two-dimensional irrota- tional perfect incompressible ...The fluid is governed by the Euler equation, while the trajectory of the solid is given by Newton’s equation, the force term ... Voir le document complet

... as in [73], we are interested in generalizing their work, by considering a wide family of admissible shapes, with the aim of analyzing more deeply the relationships between the aquaporin shape and ... Voir le document complet

... fluids, boundary layers, homogenization 1 Introduction The general concern of this paper is the effect of rough walls on fluid flows, in a context where the rough wall has very little ... Voir le document complet

... (red) and diamond mesh D (green). DDFV method for Stokes and Navier-Stokes problem leads naturally to locate the unknowns of velocity and pressure in different points; the velocity unknowns ... Voir le document complet

... introduced in 2015 [6] as an improvement over a sliding-window method for classical con- volutional networks ...[15]. In classical convolutional networks, a contracting path similar to the first branch of ... Voir le document complet

... particle and the surrounding liquid, down to the nanometer scale, is of primary importance since confined liquids are ubiquitous in many natural and technological ...situations. In this paper ... Voir le document complet

... process in neural networks consists in adjusting all the biases and weights of the network in order to reduce the value of a well-chosen loss function that represents the quality of the ... Voir le document complet

... 0) in which the rotation of the body is absent (ω = 0), we know that N controls the rate of decay of the fluid velocity v(x) at ...Farwig and Hishida [9] in which the remainder has better ... Voir le document complet

... deformation and how to sense flexibility The nature and degree of deformation exhibited by insect wings in flight is determined by the wing ...longitudinal and cross-veins, typically tapering ... Voir le document complet

... to control completely the boundary layer v because the plates need some time to be conveyed from the kitchen and are therefore strongly regularized in z (the equation ...parabolic in z) ... Voir le document complet

... transfer and third is regulated by the correlation between the bubbles and ...increased and streaks were stabilized, here the streak spacing seems to be affected very little and they become ... Voir le document complet

... J Fluid Mech ...bubbles and practical applications of micro bubble. In: 42nd European Two-Phase Flow Group Meeting, Genova, June 21–23 2004 ... Voir le document complet

... particle and the surrounding liquid, down to the nanometer scale, is of primary importance since confined liquids are ubiquitous in many natural and technological ...situations. In this paper ... Voir le document complet

... kinetic and potential energy fluxes shows that the suppression of the inverse cascade of kinetic energy is accompanied by the generation of a direct cascade of potential energy which becomes an alternative channel ... Voir le document complet

... AUSCHER AND MIHALIS MOURGOGLOU ...for boundary value problems of elliptic systems in divergence form on the upper half-space assuming De Giorgi type ...each boundary value problem ... Voir le document complet

... viscous fluid layers periodically vertically shaked (Faraday type ...experiment). In this last case, occurence of small divisors is a priori expected because of spatial ...are in [22, 5]. The ... Voir le document complet

... Overall, the flow field contains two zones of boundary layer separation and consequent flow recirculation, labeled zones A and B in Figure 5.2. Figure 5.3 is a close-up vie[r] ... Voir le document complet

... insight and perspective in the study of the magnetohydrodynamic system (MHD), which couples the Navier-Stokes equation (to model viscous flows) and an approximation of the Maxwell equations (for the ... Voir le document complet