Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics
Copyright policy )Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics
Inspird by similar ideas from the homogenization theory, it this paper we introduce the notion of two-scale convergence for thin domains that allow lower-dimensional approximation. We prove the compactness theorems, analogous to the one in homogenization theory. Using those results we derive lower-dimensional approximations in case of potential flow in thin pipe, the degenerated Reynolds equation for thin domain with sharp edge, and 1D approximation for power-law flow in thin pipe.
potential flow in thin pipe, compactness theorem, Non-Newtonian fluids, non-Newtonian power-law flow in thin pipe, homogenization, degenerate Reynolds equation, two-scale convergence, Homogenization in context of PDEs; PDEs in media with periodic structure, Incompressible viscous fluids, asymptotic analysis, two-scale convergence ; thin domains ; lower-dimensional approximation ; asymptotic analysis, lower-dimensional approximation, Homogenization applied to problems in fluid mechanics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, lower-dimensional approximations, thin domains, degenerate thin domain
potential flow in thin pipe, compactness theorem, Non-Newtonian fluids, non-Newtonian power-law flow in thin pipe, homogenization, degenerate Reynolds equation, two-scale convergence, Homogenization in context of PDEs; PDEs in media with periodic structure, Incompressible viscous fluids, asymptotic analysis, two-scale convergence ; thin domains ; lower-dimensional approximation ; asymptotic analysis, lower-dimensional approximation, Homogenization applied to problems in fluid mechanics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, lower-dimensional approximations, thin domains, degenerate thin domain
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!