Results 21 to 30 of about 274,651 (285)
Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations [PDF]
SIAM Journal on Scientific Computing, 2008 We present various variational approximations of Willmore flow in $\mathbb{R}^d$, $d=2,3$. As well as the classic Willmore flow, we also consider variants that are (a) volume preserving and (b) volume and area preserving. The latter evolution law is the so-called Helfrich flow. In addition, we consider motion by Gaus curvature.
Barrett J. W., Garcke H., Nürnberg R.
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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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On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]
, 2013 Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe +6 more
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On ``hyperboloidal'' Cauchy data for vacuum Einstein equations and obstructions to smoothness of ``null infinity'' [PDF]
, 1993 Various works have suggested that the Bondi--Sachs--Penrose decay conditions on the gravitational field at null infinity are not generally representative of asymptotically flat space--times.
A. Trautman +16 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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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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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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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 ...
Barrett J. W., Garcke H., Nürnberg R.
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