Results 11 to 20 of about 21,109,068 (48)
PDE Face: A Novel 3D Face Model [PDF]
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]
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
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Shape Morphing Using PDE Surfaces [PDF]
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]
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]
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]
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.
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A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]
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]
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]
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]
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

