Journal of Ocean Engineering and Science, 2022 Nonlinear evolution equations (NLEEs) are primarily relevant to nonlinear complex physical systems in a wide range of fields, including ocean physics, plasma physics, chemical physics, optical fibers, fluid dynamics, biology physics, solid-state physics,
Monika Niwas +2 more
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A variational formulation of anisotropic geometric evolution equations in higher dimensions [PDF]
Numerische Mathematik, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John W. Barrett 0001 +2 more
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Evolution of Aerosol Particles in the Rainfall Process via Method of Moments
Abstract and Applied Analysis, 2013 The method of moments is employed to predict the evolution of aerosol particles in the rainfall process. To describe the dynamic properties of particle size distribution, the population balance equation is converted to moment equations by the method of ...
Fangyang Yuan, Fujun Gan
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A Characterization of Conserved Quantities in Non-Equilibrium Thermodynamics
Entropy, 2013 The well-known Noether theorem in Lagrangian and Hamiltonian mechanics associates symmetries in the evolution equations of a mechanical system with conserved quantities.
Ignacio Romero
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Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations [PDF]
Journal of Computational Physics, 2021 We propose and analyze volume-preserving parametric finite element methods for surface diffusion, conserved mean curvature flow and an intermediate evolution law in an axisymmetric setting. The weak formulations are presented in terms of the generating curves of the axisymmetric surfaces.
Weizhu Bao +3 more
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On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations [PDF]
SIAM Journal on Scientific Computing, 2007 We present a variational formulation of combined motion by minus the Laplacian of curvature and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case and the case of curves that are connected via triple or quadruple junction points or intersect the external boundary.
John W. Barrett 0001 +2 more
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Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
Journal of High Energy Physics, 2022 The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions.
Glenn Barnich +2 more
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A parametric finite element method for fourth order geometric evolution equations [PDF]
Journal of Computational Physics, 2007 We present a finite element approximation of motion by minus the Laplacian of curvature and related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junctions. On introducing a parametric finite element approximation, we prove stability bounds and compare our scheme with existing ...
John W. Barrett 0001 +2 more
openaire +4 more sources
Null Curve Evolution in Four-Dimensional Pseudo-Euclidean Spaces
Advances in Mathematical Physics, 2016 We define a Lie bracket on a certain set of local vector fields along a null curve in a 4-dimensional semi-Riemannian space form. This Lie bracket will be employed to study integrability properties of evolution equations for null curves in a pseudo ...
José del Amor +2 more
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Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics [PDF]
QuantumStudies have shown that the Hilbert spaces of non-Hermitian systems require nontrivial metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge naturally from a geometric formalism.
Chia-Yi Ju +4 more
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