## A 1D model for polymer melting during modulated temperature differential scanning calorimetry

in** IMA Journal of Applied Mathematics**

April 2006; p ublished online April 2006 .

Journal Article. Subjects: Applied Mathematics. 0 words.

A 1D model for the melting of polymers, assuming the polymer crystals take the form of lamellæ or thin sheets of material, is discussed. The model is derived on the assumption that the...

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## A 2D constrained mixture model for arterial adaptations to large changes in flow, pressure and axial stretch

in** Mathematical Medicine and Biology: A Journal of the IMA**

December 2005; p ublished online December 2005 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

Soft tissue growth and remodelling (G&R) are achieved through highly complex, temporally regulated mechanisms that lead to the adaptation of structurally significant cells and extracellular...

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** » ** abstract

## Absence of localisation in ocean wave interactions with a rough seabed in intermediate water depth

in** The Quarterly Journal of Mechanics and Applied Mathematics**

February 2015; p ublished online December 2014 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

The possibility of a rough seabed causing localisation of ocean waves in intermediate water depth is considered. A numerical and analytical study of the localisation phenomenon is conducted...

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** » ** abstract

## Absorbing boundary conditions for reaction–diffusion equations

in** IMA Journal of Applied Mathematics**

April 2003; p ublished online April 2003 .

Journal Article. Subjects: Applied Mathematics. 0 words.

We treat here of the question of absorbing boundary conditions for nonlinear diffusion equations. We use the conditions designed for the linear equation, we prove them to be well posed for...

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** » ** abstract

## Accounting for the Parameters and the Problem with the High-High Term

in** Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time**

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 1095 words.

This chapter provides a list of all the parameters and summarizes their current status while also discussing the problem with the High–High term. These include the parameters used to...

## Accuracy of the multipole expansion applied to a sphere in a creeping flow parallel to a wall

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 2006; p ublished online November 2006 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 6446 words.

An example system is studied to discuss precision of the multipole expansion, applied to determine forces exerted on particles by a viscous low-Reynolds-number fluid flow. A single sphere...

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## Acknowledgements

in** Mathematical Medicine and Biology: A Journal of the IMA**

December 1996 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

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## Acknowledgements

in** Mathematical Medicine and Biology: A Journal of the IMA**

December 1997; p ublished online December 1997 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

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** » ** abstract

## Acknowledgements

in** Mathematical Medicine and Biology: A Journal of the IMA**

December 1998; p ublished online December 1998 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

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** » ** abstract

## Acknowledgements

in** Mathematical Medicine and Biology: A Journal of the IMA**

December 1999; p ublished online December 1999 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

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** » ** abstract

## Acknowledgements

in** Mathematical Medicine and Biology: A Journal of the IMA**

January 2000; p ublished online January 2000 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

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** » ** abstract

## Acknowledgements

in** Mathematical Medicine and Biology: A Journal of the IMA**

December 2001; p ublished online December 2001 .

Journal Article. Subjects: Applied Mathematics; Biomathematics and Statistics. 0 words.

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** » ** abstract

## Acoustic diffraction by a semi-infinite plane with different face impedances

in** The Quarterly Journal of Mechanics and Applied Mathematics**

September 1999; p ublished online September 1999 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

The problem of plane wave scattering by a half-plane with different impedance boundary conditions on each face is examined using the Wiener-Hopf-Hilbert technique. For the special case where...

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** » ** abstract

## Acoustic quasi-modes in slowly varying cylindrical tubes

in** The Quarterly Journal of Mechanics and Applied Mathematics**

August 2005; p ublished online August 2005 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

Guided wave propagation in slowly varying elastic bars is of increasing importance in the non-destructive evaluation of structures. This paper develops an asymptotic theory for the simpler...

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** » ** abstract

## Acoustic radiation from a phased line source at a fluid-solid boundary

in** IMA Journal of Applied Mathematics**

April 1997; p ublished online April 1997 .

Journal Article. Subjects: Applied Mathematics. 0 words.

The coupled wave dynamics of a compressible fluid and an elastic solid are studied when the motion is forced by a non uniform line source lying in their common interface. The nonuniformity...

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** » ** abstract

## Acoustic Radiation Properties of an Elastic Plate with an Infinite Baffle and Cavity

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 2002; p ublished online November 2002 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A cavity (0 < *x* < *a*, 0 < *y* < *b*, −*d* < *z* < 0) set in an otherwise rigid plane surface (*z* = 0) is covered by a rectangular elastic plate (of dimensions *a* × *b*) that is simply supported at its...

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** » ** abstract

## Acoustic Scattering

in** Rays, Waves, and Scattering**

May 2017; p ublished online May 2018 .

Chapter. Subjects: Applied Mathematics. 10303 words.

This chapter focuses on the mathematics underlying the scattering of acoustic waves. Scattering of waves and/or particles is a common phenomenon. The scattering of plane waves from spheres...

## Acoustic scattering by a pair of poroelastic spheres

in** The Quarterly Journal of Mechanics and Applied Mathematics**

February 2004; p ublished online February 2004 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

An exact analysis for sound scattering by two interacting fluid‐saturated porous‐elastic spheres that are insonified by plane waves at arbitrary angles of incidence is outlined. The novel...

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** » ** abstract

## Acoustic scattering from semi-infinite, rigid plates: a new technique

in** The Quarterly Journal of Mechanics and Applied Mathematics**

May 1999; p ublished online May 1999 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A plane sound wave is obliquely incident on a semi-infinite, rigid plate (which may or may not have finite thickness). This problem has been studied previously, but it is thought that the...

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** » ** abstract

## Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers

in** The Quarterly Journal of Mechanics and Applied Mathematics**

February 2015; p ublished online September 2014 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

Acoustic wave propagation through a triply periodic array of arbitrary shape scatterers is considered by the method of matched asymptotic expansions. It is assumed that the scatterer size...

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