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  • Hieber, Matthias; Wood, Ian (2007-07-01)
    Consider the Dirichlet problem for elliptic and parabolic equations in non-divergence form with variable coefficients in convex bounded domains of Rn. We prove solvability of the elliptic problem and maximal Lq-Lp-estimates ...
  • Wood, Ian; Hieber, Matthias (2007)
    Consider the Dirichlet problem for elliptic and parabolic equations in nondivergence form with variable coefficients in convex bounded domains of R^n. We prove solvability of the elliptic problem and maximal L^q-L^p-estimates ...
  • Raufaste, Christophe; Marmottant, Phillippe; Cox, Simon; Graner, François (2010)
    We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account ...
  • Cox, Simon; Hutzler, Stefan; Weaire, Denis; Janiaud, Eric (2007-11)
    Forced drainage describes the procedure in which liquid is added to a column of foam at a constant flow rate. For sufficiently high flow rates this results in a convective bubble motion, the symmetry of which depends on ...
  • Movchan, Natasha; Movchan, Alexander; Mishuris, Gennady (2011-09-06)
    An interfacial crack is placed within a two-phase elastic strip subjected to an out-of-plane loading. In the unperturbed state, the crack propagates with a constant speed V along the interface. The Dirichlet boundary ...
  • Mishuris, Gennady; Movchan, Alexander B.; Slepyan, Leonid I. (2008-02-01)
    We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect ...
  • Genoni, Marco; Serafini, Alessio; Kim, Myungshik; Burgarth, Daniel Klaus (2012-04-09)
    Controllability - the possibility of performing any target dynamics by applying a set of available operations - is a fundamental requirement for the practical use of any physical system. For finite-dimensional systems, ...
  • Quang, Vũ Văn (2008)
    In everyday life, we are familiar with glass. Their applications spread from uses such as lenses, prisms, mirrors for optics, windshields for cars and windows for houses, to glass bres for telecommunications. Glass is ...
  • Mishuris, Gennady; Movchan, Alexander B.; Slepyan, Leonid I. (2008-05)
    The paper addresses a problem of partial fracture of a lattice by a propagating fault modelling a crack bridged by elastic fibres. It is assumed that the strength of bonds within the lattice alternates periodically, so ...
  • Mishuris, Gennady; Movchan, A. B.; Bigoni, D. (2012)
    Analysis of propagation of a fault driven by a steadily moving shearing force through a structural interface reveals a channeling effect for the energy release. This effect implies that a steady-state solution for propagation ...
  • Hutzler, Stefan; Saadatfar, M.; van der Net, Antje; Weaire, Denis; Cox, Simon (2008-06-20)
    The study of soap films spanning wire frames continues to provide insight into both static and dynamic properties of foams. Experiments show that sufficiently small triangular faces shrink spontaneously, with their area ...
  • Sinaysky, Ilya; Petruccione, Francesco; Burgarth, Daniel Klaus (2011-09-26)
    The dynamics of a simple spin chain (two spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature ...
  • Kargl, Florian; Sjöström, J.; Swenson, J.; Fernandez-Alonso, F. (2007)
    The dynamics of water in fresh and in rehydrated white bread is studied using quasielastic neutron scattering (QENS). A diffusion constant for water in fresh bread, without temperature gradients and with the use of a ...
  • Mughal, Adil; Laurson, Lasse; Durin, G.; Zapperi, Stefano (2010-02)
    We study the effect of long-range dipolar forces on the dynamics and morphology of domain walls in magnetic thin films by numerical simulations of the spin-1 random-field Ising model. By studying the size distribution of ...
  • Vaz, M. F.; Graner, François; Teixeira, P. I. T.; Cox, Simon (2009-07-20)
    We have performed Surface Evolver simulations of two-dimensional hexagonal bubble clusters consisting of a central bubble of area λ surrounded by s shells or layers of bubbles of unit area. Clusters of up to twenty layers ...
  • Yuasa, Kazuya; Burgarth, Daniel Klaus; Giovannetti, Vittorio; Nakazato, Hiromichi (2011-09-26)
    A scheme for preparing two fixed noninteracting qubits in a maximally entangled state is presented. By repeating on- and off-resonant scattering of ancilla qubits, the target qubits are driven from an arbitrary initial ...
  • Wróbel, Michał; Mishuris, Gennady (2013-11)
    In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with ...
  • Boulogne, Francois; Cox, Simon John (2011-04-12)
    We simulate quasistatic flows of an ideal two-dimensional monodisperse foam around different obstacles, both symmetric and asymmetric, in a channel. We record both pressure and network contributions to the drag and lift ...
  • Imai, Yusuke; Finlayson, Christopher Edward; Goldberg-Oppenheimer, P; Zhao, Qibin; Spahn, Peter; Snoswell, David R. E.; Haines, Andrew I.; Hellmann, G. Peter; Baumberg, Jeremy J. (2012)
    Electrically conductive polymeric 3D photonic crystals are prepared by the shear ordering of composites consisting of monodisperse core-shell polymer spheres and single-walled carbon nanotubes (SWNTs). Strong iridescent ...
  • Snoswell, David R. E.; Creaton, Peter; Finlayson, Christopher Edward; Vincent, Brian (2011-11-01)
    When aqueous suspensions of 1 mu m, negatively charged polystyrene particles are subject to a I kHz alternating electric field of strength greater than 7 kV(rms) m(-1), dynamic elliptical dusters of particles spontaneously ...

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