Browsing Mathematics by Title
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Fine tuning the electromechanical response of dielectric elastomers
(AIP Publishing, 20181016)We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stressstretch and voltagestretch tests. We show how the relationship between electric ... 
Finite amplitude elastic waves propagating in compressible solids
(2005)The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar ... 
Finite amplitude inhomogeneous waves in MooneyRivlin viscoelastic solids
(Elsevier, 200409)New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finiteamplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ... 
Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab
(Elsevier, 20180921)We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electroelasticity theory and ... 
Finiteamplitude inhomogeneous plane waves in a deformed MooneyRivlin material
(Oxford University Press, 2002)The propagation of finiteamplitude linearlypolarized inhomogeneous transverse plane waves is considered for a MooneyRivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ... 
Finiteamplitude inhomogeneous plane waves of exponential type in incompressible elastic materials
(Kluwer Academic Publishers, 199905)It is proved that elliptically polarized finiteamplitude inhomogeneous plane waves may not propagate in an elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and ... 
Finiteamplitude Love waves in a prestressed neoHookean material
(2008)In the context of the nonlinear elasticity theory we consider a model for compressible solids called compressible neoHookean material . We show how (exact) finiteamplitude inhomogeneous plane wave solutions and ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(2009)We define the partition and $n$point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
(2011)We continue our program to define and study $n$point correlation functions for a vertex operator algebra $V$ on a higher genus compact Riemann surface obtained by sewing surfaces of lower genus. Here we consider Riemann ... 
Generalised Moonshine and Abelian Orbifold Constructions
(1994)We consider the application of Abelian orbifold constructions in Meromorphic Conformal Field Theory (MCFT) towards an understanding of various aspects of Monstrous Moonshine and Generalised Moonshine. We review some of the ... 
Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids
(The Royal Society, 20190703)We study elastic shear waves of small but finite amplitude, composed of an antiplane shear motion and a general inplane motion. We use a multiple scales expansion to derive an asymptotic system of coupled nonlinear ... 
Generalized Moonshine and orbifold constructions.
(Research Institute for Mathematical Sciences (Kokyuroku), 2002)A brief review is given of some of our recent work on Generalised Monstrous Moonshine using abelian orbifoldings of the Moonshine Module. 
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
(2011)We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized ... 
Gent models for the inflation of spherical balloons
(Elsevier, 2015)We revisit an iconic deformation of nonlinear elasticity: the inflation of a rubber spherical thin shell. We use the 3parameter Mooney and GentGent (GG) phenomenological models to explain the stretchstrain curve of a ... 
Genus Two Meromorphic Conformal Field Theory
(1999)We construct the genus two (or two loop) partition function for meromorphic bosonic conformal field theories. We use a sewing procedure involving two genus one tori by exploiting an explicit relationship between the genus ... 
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
(2010)We define the partition and $n$point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain ... 
Genus two partition and correlation functions for fermionic vertex operator superalgebras II
(20181018)We define and compute the continuous orbifold partition function and a generating function for all npoint correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ... 
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
(2007)We define the $n$point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain ... 
Genus two virasoro correlation functions for vertex operator algebras
(20161206)We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms ... 
Genus two zhu theory for vertex operator algebras
(20161027)We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ...