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Magnetoactive Elastomer Composites 21 Aug 2013 | 01:32 pm
Magnetoactive elastomers (MAEs) are composite materials consisting of nearly rigid, magnetically susceptible particles embedded in a soft, magnetically insensitive elastomer matrix. These multi-functi...
Colliding peakons and shock formation 21 Aug 2013 | 01:32 pm
The Degasperis–Procesi equation (DP) is one of several equations known to model important nonlinear effects such as wave breaking and shock creation. It is, however, a special property of the DP equat...
Bistability of flame propagation 21 Aug 2013 | 01:32 pm
We investigate a diffusional-thermal model with two-step competitive exothermic reactions for premixed combustion wave propagation in one spatial dimension under adiabatic conditions. A criterion base...
Cyclic Pursuit Strategies 21 Aug 2013 | 01:32 pm
We specify and analyse models that capture the geometry of purposeful motion of a collective of mobile agents, with a focus on planar motion, dyadic strategies and attention graphs which are static, d...
Magneto-coupling from dielectrics 21 Aug 2013 | 01:32 pm
We investigate a high-order homogenization (HOH) algorithm for periodic multi-layered stacks. The mathematical tool of choice is a transfer matrix method. Expressions for effective permeability, permi...
Nonlinear approximations 21 Aug 2013 | 01:32 pm
We present a new method for electronic structure calculations based on novel algorithms for nonlinear approximations. We maintain a functional form for the spatial orbitals as a linear combination of ...
Renyi entropic inequalities 21 Aug 2013 | 01:32 pm
We investigate the universal inequalities relating the α-Rényi entropies of the marginals of a multi-partite quantum state. This is in analogy to the same question for the Shannon and von Neumann entr...
3-dimensional Lotka-Volterra systems 21 Aug 2013 | 01:32 pm
The general solutions of many three-dimensional Lotka–Volterra systems, previously known to be at least partially integrable, are constructed with the aid of special functions. Examples include certai...
Electronic Capacitance in Nano Materials 14 Aug 2013 | 12:05 pm
The shape and size are the two important geometrical factors that affect the electronic screening in nano-materials. Here, we develop an analytical theory for electronic capacitance based on Thomas–Fe...
Wick-Malliavin approximations to SPDEs 14 Aug 2013 | 12:05 pm
Approximating nonlinearities in stochastic partial differential equations (SPDEs) via the Wick product has often been used in quantum field theory and stochastic analysis. The main benefit is simplifi...