in this paper, a new class of multifunctions, called generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions, has been dened and studied. some characterizations and severalproperties concerning generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions are obtained. the re-lationships between generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions and some known con-ce...

We analysed the thermodiffusion phenomenon both numerically and experimentally for size-based separation of polystyrene microparticles. For model validation, we followed previously published numerical studies using ANSYS Fluent 2020 R2 software. our experimental analysis, defined a new microchannel geometry that would separate at least two groups particles (5 20 µm). trajectory microparticles i...

Abstract In the present work a model of evolution composition transition zone between material and pre-applied coating under conditions intense short-term thermal impulse is proposed. The pulse times are assumed to be comparable relaxation heat mass fluxes. This led need account for finite rates propagation in model, leading hyperbolic transfer equations. phenomena thermodiffusion (Soret effect...

The present article investigates the elasto-thermodiffusive interactions in a transversely isotropic elastic medium in the context of thermoelasticity with one relaxation time parameter and two relation time parameters. The resulting non-dimensional coupled equations are applied to a specific problem of a half-space in which the surface is free of tractions and is subjected to time-dependent th...

in this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. we introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.

Major recent advances: Magnetic fluid rheology and flow advances in the past year include: (1) generalization of the magnetization relaxation equation by Shliomis and Felderhof and generalization of the governing ferrohydrodynamic equations by Rosensweig and Felderhof; (2) advances in such biomedical applications as drug delivery, hyperthermia, and magnetic resonance imaging; (3) use of the ant...

We study the qualitative and numerical behavior of a thermodiffusion Timoshenko beam with Kelvin–Voigt damping. The model, recently derived by Aouadi $ \rm et al. (2019), describes effects under classical Fourier's Fick's laws for heat mass diffusion transmission, respectively. With help semigroup theory linear operators, we prove well posedness considered problem. Without assuming well-known c...