Solenoidal Lipschitz truncation for parabolic PDE's

We consider functions $u\in L^\infty(L^2)\cap L^p(W^{1,p})$ with $1<p<\infty$ on a time space domain. Solutions to non-linear evolutionary PDE's typically belong to these spaces. Many applications require a Lipschitz approximation $u_\lambda$ of $u$ which coincides with $u$ on a large set. For problems arising in fluid mechanics one needs to work with solenoidal (divergence-free) functions. Thus, we construct a Lipschitz approximation, which is also solenoidal. As an application we revise the existence proof for non-stationary generalized Newtonian fluids in [DRW10]. Since ${\rm div} u_\lambda=0$, we are able to work in the pressure free formulation, which heavily simplifies the proof. We also provide a simplified approach to the stationary solenoidal Lipschitz truncation of [BDF12]

Development and Implementation of A Multidimensional MBA Program Assessment Day

This study provides an overview of a unique and innovative assessment approach: a one-day series of events to capture assurance of learning data across multiple program learning goals/objectives. The MBA Assessment Day discussed here included a group presentation (assessment of oral communication), a case twist analysis assessment of analytical/critical thinking and problem solving, global awareness, and written communication, a quiz show assessment of general business competence, and a teamwork questionnaire. The MBA Assessment Day provided faculty with a training experience to efficiently focus preparations for both undergraduate and MBA program assessment as the college of business progresses toward AACSB accreditation. Additionally, intensive involvement gave faculty members ownership of the process. The assurance of learning process and its relationship to AACSB learning standards are outlined in detail, along with the development of the MBA Assessment Day. A discussion and analysis of results leads to specific guidance and recommendations for future MBA Assessment Days

Ultrafast dynamics of coherences in the quantum Hall system

Using three-pulse four-wave-mixing optical spectroscopy, we study the ultrafast dynamics of the quantum Hall system. We observe striking differences as compared to an undoped system, where the 2D electron gas is absent. In particular, we observe a large off-resonant signal with strong oscillations. Using a microscopic theory, we show that these are due to many-particle coherences created by interactions between photoexcited carriers and collective excitations of the 2D electron gas. We extract quantitative information about the dephasing and interference of these coherences.Comment: 4 pages, 4 figures, to be published in Phys. Rev. Let

Generalized Zero Range Potentials and Multi-Channel Electron-Molecule Scattering

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges is considered. Spherical functions basis expansion of the potentials introduces partial amplitudes and corresponding radial functions. The approach is generalized to multi-channel case by a matrix formulation in which a state vector component is associated with a scattering channel. The zero-range potentials naturally enter the scheme when the class of operators of multiplication is widen to distributions. %Analog of multipolar expansion is treated. Spin variables, o Oscillations and rotations are incorporated into the scheme.Comment: 11 pages, 1 figure, CEPAS2 con

Implications of Subchapter S Tax Status for Commercial Banks

Banks first became eligible to elect Subchapter S of the Internal Revenue Code in 1997. Subchapter S status provides institutions the ability to maintain limited liability while avoiding double taxation. The earnings flow through to the individual shareholders on a pro rata basis and are taxed only at the individual level. This paper examines the effect conversion to Subchapter S tax status has on commercial banks. A sample of 1,658 banks that convert to Subchapter S from 1997-2004 are analyzed to detect changes in performance that occur due to the conversion to Subchapter S. I use an event study methodology modified to accommodate accounting data. A sample of banks that did not convert to Subchapter S status is matched with the converting banks to control systemic changes. The primary research question is to determine what banks do with the corporate tax savings that result from conversion. Findings and Conclusions: The empirical analysis indicates that the sample banks that convert to Subchapter S increase dividends. Furthermore, the results indicate that Subchapter S banks increase dividends more than the added personal taxes incurred by shareholders as a result of paying taxes on all income, whether distributed as dividends or not. The analysis indicates that banks converting to Subchapter S status reduce some types of small business and agricultural lending, reduce the proportion of earnings retained as capital, and reduce salaries. The analysis supports the conclusion that Subchapter S banks direct the tax benefits of conversion to shareholders rather than increasing the amount of small business and agricultural lending, increasing bank capital, or increasing salaries and benefits.Department of Financ

A dressing of zero-range potentials and electron-molecule scattering problem at Ramsauer-Townsend minimum

A dressing technique is used to improve zero range potential (ZRP) model. We consider a Darboux transformation starting with a ZRP, the result of the "dressing" gives a potential with non-zero range that depends on a seed solution parameters. Concepts of the partial waves and partial phases for non-spherical potential are used in order to perform Darboux transformation. The problem of scattering on the regular X$_{\hbox{n}}$ and YX$_{\hbox{n}}$ structures is studied. The results of the low-energy electron-molecule scattering on the dressed ZRPs are illustrated by model calculation for the configuration and parameters of the silane ($\hbox{SiH}_4$) molecule. \center{Key words: low-energy scattering, multiple scattering, Ramsauer-Townsend minimum, silane, zero range potential.Comment: 13 pages, 1 figur

Electrophysiological effects of progesterone on hepatocytes

AbstractThe addition of progesterone (1–100 μmol/l) to the extracellular fluid bathing rat hepatocytes led to a rapid and fully reversible depolarization of the cell membrane. The progesterone-induced depolarization was paralleled by a decrease of potassium selectivity and an increase of cell membrane resistance and was abolished in the presence of the potassium channel blocker barium. Accordingly, in whole cell recordings, progesterone led to a decrease of the cell membrane conductance. 17 α-Hydroxyprogesterone and β-estradiol were less effective by a factor of 10, whereas cholesterol, corticosterone and hydrocortisone did not significantly alter the potential difference across the cell membrane. In conclusion, acute administration of progesterone depolarized rat hepatocytes by decreasing the potassium conductance of the cell membrane

2s Hyperfine Structure in Hydrogen Atom and Helium-3 Ion

The usefulness of study of hyperfine splitting in the hydrogen atom is limited on a level of 10 ppm by our knowledge of the proton structure. One way to go beyond 10 ppm is to study a specific difference of the hyperfine structure intervals 8 Delta nu_2 - Delta nu_1. Nuclear effects for are not important this difference and it is of use to study higher-order QED corrections.Comment: 10 pages, presented at Hydrogen Atom II meeting (2000

Correlated many-body treatment of Breit interaction with application to cesium atomic properties and parity violation

Corrections from Breit interaction to basic properties of atomic 133Cs are determined in the framework of third-order relativistic many-body perturbation theory. The corrections to energies, hyperfine-structure constants, off-diagonal hyperfine 6S-7S amplitude, and electric-dipole matrix elements are tabulated. It is demonstrated that the Breit corrections to correlations are comparable to the Breit corrections at the Dirac-Hartree-Fock level. Modification of the parity-nonconserving (PNC) 6S-7S amplitude due to Breit interaction is also evaluated; the resulting weak charge of $^{133}$Cs shows no significant deviation from the prediction of the standard model of elementary particles. The neutron skin correction to the PNC amplitude is also estimated to be -0.2% with an error bound of 30% based on the analysis of recent experiments with antiprotonic atoms. The present work supplements publication [A. Derevianko, Phys. Rev. Lett. 85, 1618 (2000)] with a discussion of the formalism and provides additional numerical results and updated discussion of parity violation.Comment: 16 pages; 5 figs; submitted to Phys. Rev.