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82 papers · 1 filter
Exact Controllability for Stochastic Schrodinger Equations
Qi Lu
This paper is addressed to studying the exact controllability for stochastic Schrödinger equations by two controls. One is a boundary control in the drift term and the other is an…
Asymptotic behavior of compositions of under-relaxed nonexpansive operators
J. -B. Baillon, P. L. Combettes, R. Cominetti
In general there exists no relationship between the fixed point sets of the composition and of the average of a family of nonexpansive operators in Hilbert spaces. In this paper, w…
Explicit secular equations for piezoacoustic surface waves: Shear-Horizontal modes
Bernard Collet, Michel Destrade
Attention is given to surface waves of shear-horizontal modes in piezoelectric crystals permitting the decoupling between an elastic in-plane Rayleigh wave and a piezoacoustic anti…
Rayleigh waves in anisotropic crystals rotating about the normal to a symmetry plane
Michel Destrade
The propagation of surface acoustic waves in a rotating anisotropic crystal is studied. The crystal is monoclinic and cut along a plane containing the normal to the symmetry plane;…
Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint
Michel Destrade, Nigel H. Scott
An isotropic elastic half space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject…
Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids
Michel Destrade, Giuseppe Saccomandi
New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly-polarized, inho…