Topic
Antisymmetric relation
About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.
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TL;DR: In this paper, the authors show that there are in addition antisymmetric waves in the presence of a uniform electric field acting horizontally with respect to the undisturbed configuration.
Abstract: Capillary waves on fluid sheets are computed in the presence of a uniform electric field acting horizontally with respect to the undisturbed configuration. The fluid is taken to be inviscid, incompressible and nonconducting. In previous work (Papageorgiou & Vanden-Broeck [14]) symmetric travelling waves were investigated. In this paper we show that there are in addition antisymmetric waves. These waves are calculated numerically for arbitrary amplitudes and wavelengths and the effect of the electric field is studied. The numerical procedure is based on a reformulation of the problem as a system of nonlinear integro–differential equations.
37 citations
TL;DR: In this article, the decay rates of axial vector mesons were derived from the mixing angle and the S-wave, symmetric and antisymmetric octet couplings for vector-pseudoscalar decays.
37 citations
TL;DR: In this paper, simplified asymptotic equations describing the resonant nonlinear interaction of equatorial Rossby wave with barotropic Rossby waves with significant midlatitude projection in the presence of arbitrary vertically and meridionally sheared zonal mean winds are developed.
Abstract: Simplified asymptotic equations describing the resonant nonlinear interaction of equatorial Rossby waves with barotropic Rossby waves with significant midlatitude projection in the presence of arbitrary vertically and meridionally sheared zonal mean winds are developed. The three mode equations presented here are an extension of the two mode equations derived by Majda and Biello [1] and arise in the physically relevant regime produced by seasonal heating when the vertical (baroclinic) mean shear has both symmetric and antisymmetric components; the dynamics of the equatorial baroclinic and both symmetric and antisymmetric barotropic waves is developed. The equations described here are novel in several respects and involve a linear dispersive wave system coupled through quadratic nonlinearities. Numerical simulations are used to explore the effect of antisymmetric baroclinic shear on the exchange of energy between equatorial baroclinic and barotropic waves; the main effect of moderate antisymmetric winds is to shift the barotropic waves meridionally. A purely meridionally antisymmetric mean shear yields highly asymmetric waves which often propagate across the equator. The two mode equations appropriate to Ref. [1] are shown to have analytic solitary wave solutions and some representative examples with their velocity fields are presented.
37 citations
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TL;DR: In this paper, a simple algebraic construction of all the small resolutions for the SU(5) Weierstrass model is presented, where each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional N = 1 SU (5) gauge theory with matter fields in the fundamental and two-index antisymmetric representations.
Abstract: We present a simple algebraic construction of all the small resolutions for the SU(5) Weierstrass model. Each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional N=1 SU(5) gauge theory with matter fields in the fundamental and two-index antisymmetric representations. This construction unifies all previous resolutions found in the literature in a single framework.
37 citations
TL;DR: In this paper, the dynamic response of moderately thick antisymmetric cross-ply laminated rectangular plates on elastic foundation is investigated and the results can be used as benchmark solution for future works.
37 citations