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We consider the mathematical modeling and numerical simulation of high throughput sorting of two different types of biological cells (type I and type II) by a biomedical micro-electro-mechanical system (BioMEMS) whose operating behavior relies on surface acoustic wave (SAW) manipulated fluid flow in a microchannel. The BioMEMS consists of a separation channel with three inflow channels for injection of the carrier fluid and the cells, two outflow channels for separation, and an interdigital transducer...

Numerical solution of amixed problem for a polywave equation of Mangeron.

K. V. Leung, M. N. Oguztoreli (1974)

Collectanea Mathematica

On a transmission problem in elasticity

Christodoulos Athanasiadis, Ioannis G. Stratis (1998)

Annales Polonici Mathematici

The transmission problem for the reduced Navier equation of classical elasticity, for an infinitely stratified scatterer, is studied. The existence and uniqueness of solutions is proved. Moreover, an integral representation of the solution is constructed, for both the near and the far field.

On elastic waves in a medium with randomly distributed cylinders.

Bose, S.K., Debnath, L. (1981)

International Journal of Mathematics and Mathematical Sciences

On elastic waves in a thin-layered laminated medium with stress couples under initial stress.

Roy, P.Pal, Debnath, L. (1988)

International Journal of Mathematics and Mathematical Sciences

On generalized thermoelastic disturbances in an elastic solid with a spherical cavity.

Mukhopadhyay, Basudeb, Bera, Rasajit, Debnath, Lokenath (1991)

Journal of Applied Mathematics and Stochastic Analysis

On some viscoelastic models

Pasquale Renno (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Sia $\mathcal{B}_{n}$ un sistema linearmente viscoelastico, omogeneo ed isotropo, caratterizzato dalla funzione di memoria $g_{n}(t)=\sum_{k=1}^{n}B_{k}\,\exp(-\beta_{k}t)$ , tipica di numerosi polimeri solidi. Si dimostra che la soluzione fondamentale $E_{n}$ dell’operatore integrodifferenziale che descrive i moti di $\mathcal{B}_{n}$ è, in ogni punto del suo supporto, maggiorata da quella relativa ad un opportuno solido standard $\mathcal{B}_{1}$ Di conseguenza, è possibile applicare all’analisi qualitativa dei moti di $\mathcal{B}_{n}$ alcuni risultati stabiliti in [10], quali proprietà asintotiche, principi...

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Magneto-viscoelastic plane waves in rotating media in the generalized thermoelasticity II.

Matematické modely a numerické simulace vln cunami

Matematika hudebních nástrojů

Mathematical modelling of ultrasonic non-destructive evaluation.

Mémoire sur les ondes dans les milieux isotropes déformés.

Microlocal analysis and seismic imaging

Multi-component NLS models on symmetric spaces: spectral properties versus representations theory.

Multiwave nonlinear couplings in elastic structures.

Nonresonance and global existence of prestressed nonlinear elastic waves.

Numerical investigation of the properties of quasilocal plane waves of the modal type in the case of a thin low-velocity elastic layer that is in contact with an elastic half-space.

Numerical simulation of surface acoustic wave actuated cell sorting