## Search

Now showing items 1-10 of 30

#### wave operators for the matrix Zakharov-Shabat system

(AIP Publishing, 2010-05)

In this article, we prove the similarity (and, in the focusing case, the J-unitary equivalence) of the free Hamiltonian and the restriction of the full Hamiltonian to the maximal invariant subspace on which its spectrum ...

#### wall energy relaxation in the Cahn-Hilliard model for moving contact lines

(AIP Publishing, 2011-01)

The Cahn-Hilliard model uses diffusion between fluid components to regularize the stress singularity at a moving contact line. In addition, it represents the dynamics of the near-wall layer by the relaxation of a wall ...

#### A note on the switching adiabatic theorem

(AIP Publishing, 2012-10)

We derive a nearly optimal upper bound on the running time in the adiabatic theorem for a switching family of Hamiltonians. We assume the switching Hamiltonian is in the Gevrey class G(alpha) as a function of time, and we ...

#### On the efficiency of Hamiltonian-based quantum computation for low-rank matrices

(AIP Publishing, 2012-03)

We present an extension of adiabatic quantum computing (AQC) algorithm for the unstructured search to the case when the number of marked items is unknown. The algorithm maintains the optimal Grover speedup and includes a ...

#### Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line

(AIP Publishing, 2011-10)

The matrix Schrodinger equation with a self-adjoint matrix potential is considered on the half line with the most general self-adjoint boundary condition at the origin. When the matrix potential is integrable and has a ...

#### Numerical Approximations of the Dynamical System Generated by Burgers' Equation with Neumann-Dirichlet Boundary Conditions

(EDP Sciences, 2013-09)

Using Burgers' equation with mixed Neumann-Dirichlet boundary conditions, we highlight a problem that can arise in the numerical approximation of nonlinear dynamical systems on computers with a finite precision floating ...

#### Multi-scale immunoepidemiological modeling of within-host and between-host HIV dynamics: systematic review of mathematical models

(PeerJ, 2017-09-28)

Objective
The objective of this study is to conduct a systematic review of multi-scale HIV immunoepidemiological models to improve our understanding of the synergistic impact between the HIV viral-immune dynamics at the ...

#### Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum

(American Physical Society, 2010-03)

We study the decay of a prepared state E(0) into a continuum {E(k)} in the case of non-Ohmic models. This means that the coupling is |V(k),(0)| proportional to |E(k)-E(0)|(s-1) with s not equal 1. We find that irrespective ...

#### On the eigenfunctions for Hookean and FENE dumbbell models

(AIP Publishing, 2013-09)

We study the linear eigenvalue problem for the distribution function associated with Hookean and FENE dumbbell models. For Hookean dumbbells, the eigenfunctions can be expressed by generalized Laguerre polynomials. The ...