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Now showing items 1-6 of 6

#### 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 ...

#### 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 number of bound states for the one-dimensional Schrodinger equation

(AIP Publishing, 1998-09)

The number of bound states of the one-dimensional Schrodinger equation is analyzed in terms of the number of bound states corresponding to ''fragments'' of the potential. When the potential is integrable and has a finite ...

#### wave scattering in one dimension with absorption

(AIP Publishing, 1998-04)

Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrodinger equation d(2) psi/dx(2)+k(2) psi=[ikP(x)+Q(x)]psi, where P(x) and Q(x) are real, integrable potentials with ...

#### On a wave equation with a boundary condition associated with capillary waves

(Siam Publications, 1998-09)

This paper discusses an initial-boundary value problem for a wave equation with a nonstandard boundary condition associated with linear capillary waves on the surface of a compressible liquid. We prove the well-posedness ...

#### Least-squares finite element approximations to solutions of interface problems

(Siam Publications, 1998-02)

A least-squares finite element method for second-order elliptic boundary value problems having interfaces due to discontinuous media properties is proposed and analyzed. Both Dirichlet and Neumann boundary data are treated. ...