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Microlocal analysis and seismic imaging

Christiaan Stolk (2003/2004)

Séminaire Équations aux dérivées partielles

We study certain Fourier integral operators arising in the inversion of data from reflection seismology.

Numerical simulation of surface acoustic wave actuated cell sorting

Thomas Franke, Ronald Hoppe, Christopher Linsenmann, Kidist Zeleke (2013)

Open Mathematics

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...

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

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