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#### Convergence theorems for intermediate problems. II

(Cambridge University Press, 2002)

Convergence theorems for the practical eigenvector free methods of Gay and Goerisch are obtained under a variety of hypotheses, so that our theorems apply to both traditional boundary-value problems and atomic problems. ...

#### Growth of functions in cercles de remplissage

(Cambridge University Press, 2002-02)

Suppose that f is meromorphic in the plane, and that there is a sequence z(n) --> infinity and a sequence of positive numbers epsilon(n) --> 0, such that epsilon(n)\z(n)f(#)(z(n))/log\z(n)\ --> infinity. It is shown that ...

#### Robust optimal switching control for nonlinear systems

(Siam Publications, 2002-09)

We formulate a robust optimal control problem for a general nonlinear system with finitely many admissible control settings and with costs assigned to switching of controls. e formulate the problem both in an L-2-gain/dissipative ...

#### An elementary nonlinear beam theory with finite buckling deformation properties

(Siam Publications, 2002-04)

A simple nonlinear beam model is derived from basic principles. The assumption upon which the derivation is based is that axial motions are of second order compared with transverse motions of the beam. The existence of ...

#### Radial oscillations of encapsulated microbubbles in viscoelastic liquids

(American Institute of Physics, 2002-10)

The small-amplitude radial oscillations of a gas microbubble encapsulated by a viscoelastic solid shell and surrounded by a slightly compressible viscoelastic liquid are studied theoretically. The Kelvin-Voigt and 4-constant ...

#### Dynamics of self-driven microcantilevers

(American Institute of Physics, 2002-04-01)

The small amplitude thermal vibrations of the microcantilever of an atomic force microscope can be enhanced via a delayed feedback system. This is verified experimentally for a triangular cantilever, and modeled theoretically ...

#### effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit

(AIP Publishing, 2002-07)

We consider fiber spinning for the upper-convected Maxwell fluid in the limit of a high Deborah number. We compare several choices of boundary conditions that may be imposed. In addition to the takeup speed and the upstream ...

#### Purely imaginary eigenvalues of Zakharov-Shabat systems

(American Physical Society, 2002-03)

Zakharov-Shabat systems with single-hump and real, but not necessarily symmetric, potentials are shown to have purely imaginary eigenvalues only. Coupled with examples of double-hump potentials with nonimaginary eigenvalues, ...

#### Nucleation of superconductivity in finite anisotropic superconductors and the evolution of surface superconductivity toward the bulk mixed state

(American Physical Society, 2002-02-14)

In anisotropic superconductors having an arbitrary orientation of the sample surface relative to the crystal principal axes, the surface critical field H-c3 is less than 1.695H(c2) unless the field is situated along one ...

#### experimental observation and matching numerical simulation for the deformation and breakup of immiscible drops in oscillatory shear

(AIP Publishing, 2002-09)

This paper describes experimental results on the way immiscible drops of a Newtonian fluid can deform and breakup when subject to oscillatory shear deformation. The paper also reports a matching three-dimensional numerical ...