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Filtering by: Subject Ice mechanics -- Mathematical models Degree Field Mathematics

The violin's sound : a mathematical exploration employing principles of continuum mechanics and numerical methods

Creator:

Gyde, Nina J.

Abstract:

This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in...

Resource Type:

Masters Thesis

Full Text:

authors venture into the complexities of the resonant chamber. There is no mathematical model which can
Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel

Creator:

Morales, Fernando A.

Abstract:

This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel. In the first part the problem is modeled by Darcy's law in both the porous medium and in the channel. The permeability in the channel...

Resource Type:

Dissertation

Full Text:

- ciple. A fully-coupled model with a lower dimensional interface problem is obtained in the limit as an