Results 11 to 20 of about 21,109,068 (48)

PDE Face: A Novel 3D Face Model [PDF]

open access: yes, 2008
YesWe introduce a novel approach to face models, which exploits the use of Partial Differential Equations (PDE) to generate the 3D face. This addresses some common problems of existing face models.
Willis, P.   +3 more
core   +4 more sources

Integrable operators and squares of Hankel operators. [PDF]

open access: yes, 2008
Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
core   +5 more sources

Shape Morphing Using PDE Surfaces [PDF]

open access: yes, 2006
YesA methodology for shape morphing using partial differential equation (PDE) surfaces is presented in this work. The use of the PDE formulation shows how shape morphing can be based on a boundary-value approach by which intermediate shapes can be ...
Willis, P.   +3 more
core   +4 more sources

Discrete integrable systems and Poisson algebras from cluster maps [PDF]

open access: yes, 2014
We consider nonlinear recurrences generated from cluster mutations applied to quivers that have the property of being cluster mutation-periodic with period 1.
Fordy, AP   +3 more
core   +1 more source

Integrable viscous conservation laws [PDF]

open access: yes, 2015
We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio   +2 more
core   +1 more source

Non-integrability of a fifth order equation with integrable two-body dynamics [PDF]

open access: yes, 2003
We consider the fifth order partial differential equation (PDE) u4x,t?5uxxt+4ut+uu5x+2uxu4x?5uu3x?10uxuxx+12uux=0, which is a generalization of the integrable Camassa-Holm equation.
Holm, Darryl D., Hone, Andrew N.W.
core   +1 more source

A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]

open access: yes, 2005
We consider a family of integro-differential equations depending upon a parameter b as well as a symmetric integral kernel g(x). When b=2 and g is the peakon kernel (i.e.
N W Hone   +3 more
core   +1 more source

Integrable multi-phase thermodynamic systems and Tsallis' composition rule [PDF]

open access: yes, 2014
We derive a class of equations of state for a multi-phase thermodynamic system associated with a finite set of order parameters that satisfy an integrable system of hydrodynamic type. As particular examples, we discuss one-phase systems such as the van
de Nittis, Giuseppe   +2 more
core   +1 more source

On quantum and relativistic mechanical analogues in mean field spin models [PDF]

open access: yes, 2014
Conceptual analogies among statistical mechanics and classical or quantum mechanics often appeared in the literature. For classical two-body mean field models, such an analogy is based on the identification between the free energy of Curie-Weiss type ...
Guerra, F.   +10 more
core   +1 more source

On integrable conservation laws [PDF]

open access: yes, 2014
We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio   +2 more
core   +1 more source

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