Results 61 to 70 of about 2,837 (210)

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Nonabelian fluids and helicities

Journal of High Energy Physics
In analogy with the non-Abelian gauge helicities conserved in time for “null fields”, that we have defined previously, in this paper we first define non-Abelian fluid helicities and then total non-Abelian helicities for combined non-Abelian fluid and ...
Horatiu Nastase, Jacob Sonnenschein
doaj   +1 more source

On conjugating representations and adjoint representations of semisimple groups

Inventiones Mathematicae, 1988
Let G be a reductive algebraic group over an algebraically closed field k and let G act (as k-algebra automorphisms) on a finitely generated k- algebra A. Suppose the algebra of invariants, \(C=A\) G, is a free polynomial k-algebra and that A is flat as a C-module.
openaire   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Electroweak gauge invariant Higgs multiplets

Journal of High Energy Physics
We investigate the potential of general Higgs multiplets. We establish the domain of general Higgs multiplets within the context of the adjoint representation.
M. Maniatis
doaj   +1 more source

Macdonald deformation of Vogel's universality and link hyperpolynomials

Physics Letters B
Vogel's universality implies a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters α,β,γ, which are homogeneous coordinates of Vogel's plane. Actually this is true (if at all) only for a
Liudmila Bishler, Andrei Mironov, Alexei Morozov   +2 more
doaj   +1 more source

On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty

Advances in High Energy Physics, 2013
We find the coordinate space wave functions, maximal localization states, and quasiposition wave functions in a GUP framework that implies a minimal length uncertainty using a formally self-adjoint representation.
Pouria Pedram
doaj   +1 more source

A representative solution to m-order linear ordinary differential equation with nonlocal conditions by green's functional concept

Mathematical Modelling and Analysis, 2012
In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and ...
Kemal Ozen, Kamil Orucoglu
doaj   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos, Antonios Charalambopoulos   +1 more
wiley   +1 more source

Lie Supergroups Obtained from 3-Dimensional Lie Superalgebras Associated to the Adjoint Representation and Having a 2-Dimensional Derived Ideal

International Journal of Mathematics and Mathematical Sciences, 2008
We give the explicit multiplication law of the Lie supergroups for which the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra g=g0⊕g1 which satisfies g1=g0, g0 acts on g1 via the adjoint representation and g0 has a 2 ...
I. Hernández, R. Peniche
doaj   +1 more source