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91.
A. Borelli C. O. Horgan M. C. Patria 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2003,54(5):797-806
This paper is concerned with investigation of the
influence of pre-stress and pre-polarization on the decay of
Saint-Venant end effects in piezoelectric solids. This issue is
examined within the framework of incremental anti-plane shear
states for prestressed and prepolarized solids. Attention is
confined to a specific class of materials, namely those of
hexagonal 6mm or 4mm symmetry. It is shown that the mechanical
and electrical fields uncouple in this case, and the governing
system of coupled second-order linear partial differential
equations uncouple to a single homogeneous second-order equation
with constant coefficients for the displacement and a Poisson
equation for the electric potential. The exact decay rate for
mechanical and electrical end effects is determined and the
influence of pre-stress and pre-polarization is assessed.
Motivation for this work arises from the current rapid
developments in smart materials technology. 相似文献
92.
Fix a smooth very ample curve C on a K3 or abelian surface X. Let $ \mathcal{M} $ denote the
moduli space of pairs of the form (F, s), where F is a stable sheaf over X whose Hilbert polynomial
coincides with that of the direct image, by the inclusion map of C in X, of a line bundle of degree d
over C, and s is a nonzero section of F. Assume d to be sufficiently large such that F has a nonzero
section. The pullback of the Mukai symplectic form on moduli spaces of stable sheaves over X is
a holomorphic 2-form on $ \mathcal{M} $. On the other hand, $ \mathcal{M} $ has a map to a Hilbert scheme parametrizing
0-dimensional subschemes of X that sends (F, s) to the divisor, defined by s, on the curve defined
by the support of F. We prove that the above 2-form on $ \mathcal{M} $ coincides with the pullback of the
symplectic form on the Hilbert scheme. 相似文献
93.
Existence of solution for semilinear problem with the Laplace-Beltrami operator on non-compact Riemannian manifolds with rich
symmetries is proved by concentration compactness based on actions of the manifold's isometry group. 相似文献
94.
Abstract. We propose a general approach to deal with nonlinear, nonconvex variational problems based on a reformulation of the problem
resulting in an optimization problem with linear cost functional and convex constraints. As a first step we explicitly explore
these ideas to some one-dimensional variational problems and obtain specific conclusions of an analytical and numerical nature. 相似文献
95.
96.
Our purpose in the paper is to find the most general linear congruence relation of the Hardy-Williams type for linear combinations of special values of Kubota-Leopoldt 2-adic L-functions L2(k,χω1−k) with k running over any finite subset of not necessarily consisting of consecutive integers (see Acta Arith. 47 (1986) 263; Publ. Math. Fac. Sci. Besançon, Théorie des Nombres, 1995/1996; Publ. Math. Debrecen 56 (2000) 677 and cf. Mathematics and Its Applications, Vol. 511, Kluwer Academic Publishers, Dordrecht, Boston, London, 2000). If k runs over finite subsets of consisting of consecutive integers see Compositio Math. 111 (1998) 289; Publ. Math. Debrecen 56 (2000) 677; Hardy and Williams, 1986; Compositio Math. 75 (1990) 271; Acta Arith. 71 (1995) 273; 52 (1989) 147; J. Number Theory 34 (1990) 362. In order to obtain the most general congruences of this type we make use of divisibility properties of the generalized Vandermonde determinants obtained in Spie? et al. (Divisibility properties of generalized Vandermonde and Cauchy determinants, Preprint 627, Institute of Mathematics, Polish Academy of Sciences, Warsaw, 2002). This allows us to simplify our main Theorem 2 and obtain Theorem 3 where the most general form of the linear congruence relation is given. 相似文献
97.
98.
Guohua Peng 《Journal of Number Theory》2003,98(2):221-227
In this paper, we give a definition of genus field of function field with one variable over finite fields. And we explicitly describe the genus fields of Kummer function fields. For quadratic function fields case, our results are analogous to the genus fields of quadratic number fields. 相似文献
99.
Laurent Moret-Bailly 《Journal of Number Theory》2003,99(2):383-404
We give criteria for R-equivalence of torsors under finite constant group schemes over a field. In particular, using bitorsors, we obtain a Galois dévissage result which formalises and generalises a theorem of Philippe Gille in the case of local fields; for instance, Gille's theorem is shown to extend to higher local fields. 相似文献
100.
We investigate the distribution of the numbers x∈[1,p] for which all lie in a subset of the set of multiplicative inverses modulo a prime p. Here the ai are integers coprime to p and the numbers are distinct . 相似文献