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Now showing items 1-10 of 31

#### a numerical study of periodic disturbances on two-layer Couette flaw

(AIP Publishing, 1998-12)

The flow of two viscous liquids is investigated numerically with a volume of fluid scheme. The scheme incorporates a semi-implicit Stokes solver to enable computations at low Reynolds numbers, and a second-order velocity ...

#### A note on best approximation and invertibility of operators on uniformly convex Banach spaces

(Hindawi Publishing Corp, 1991-01-01)

It is shown that if X is a uniformly convex Banach space and S a bounded linear operator onX for which ?I-S?=1, then S is invertible if and only if ?I-12S? <1. From this it follows thatif S is invertible on X then either ...

#### continuity of the S-matrix for the perturbed Hill's equation

(AIP Publishing, 1994-07)

The behavior of the scattering matrix associated with the perturbed Hill's equation as the spectral parameter approaches an endpoint of a spectral band is studied. In particular, the continuity of the scattering matrix at ...

#### anomaly meltdown

(AIP Publishing, 1991-08)

It is shown that at nonzero temperature it is possible that anomalies in representations of symmetry groups and gauge groups, present at zero temperature, disappear. Several examples are given. Thus the idea that anomalies ...

#### Solving the Ginzburg-Landau equations by finite-element methods

(American Physical Society, 1992-10)

We consider finite-element methods for the approximation of solutions of the Ginzburg-Landau equations of superconductivity. The methods are based on a discretization of the Euler-Lagrange equations resulting from the ...

#### inverse wave scattering with discontinuous wave speed

(AIP Publishing, 1995-06)

The inverse scattering problem on the line is studied for the generalized Schrödinger equation (d 2ψ/dx 2)+k 2 H(x)2ψ=Q(x)ψ, where H(x) is a positive, piecewise continuous function with positive limits H ± as x → ±∞. This ...

#### asymptotics of the scattering coefficients for a generalized Schrodinger equation

(AIP Publishing, 1999-08)

The generalized Schrodinger equation d(2)psi/dx(2) + F(k)psi=[ikP(x) + Q(x)]psi is considered, where P and Q are integrable potentials with finite first moments and F satisfies certain conditions. The behavior of the ...

#### factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrodinger-type equations

(AIP Publishing, 1996-12)

The one-dimensional Schrodinger equation and two of its generalizations are considered, as they arise in quantum mechanics, wave propagation in a nonhomogeneous medium, and wave propagation in a nonconservative medium where ...

#### coupling constant thresholds of perturbed periodic Hamiltonians

(AIP Publishing, 1998-09)

We consider Schrodinger operators of the form H-lambda= -Delta + V + lambda W on L-2(R-v) (v=1, 2, or 3) with V periodic, W short range, and lambda a real non-negative parameter. Then the continuous spectrum of H-lambda ...

#### on the Riemann-Hilbert problem for the one-dimensional Schrodinger-equation

(AIP Publishing, 1993-07)

A matrix Riemann-Hilbert problem associated with the one-dimensional Schrodinger equation is considered, and the existence and uniqueness of its solutions are studied. The solution of this Riemann-Hilbert problem yields ...