Robustness of Regularity for the 33D Convective Brinkman-Forchheimer Equations

We prove a robustness of regularity result for the $3$D convective Brinkman-Forchheimer equations \partial_tu -\mu\Delta u + (u \cdot \nabla)u + \nabla p + \alpha u + \beta\abs{u}^{r - 1}u = f, for the range of the absorption exponent $r \in [1, 3]$ (for $r > 3$ there exist global-in-time regular solutions), i.e. we show that strong solutions of these equations remain strong under small enough changes of the initial condition and forcing function. We provide a smallness condition which is similar to the robustness conditions given for the $3$D incompressible Navier-Stokes equations by Chernyshenko et al. (2007) and Dashti & Robinson (2008).Comment: 22 page

Simulation of Alternative Marketing Strategies for U.S. Cotton

Three marketing strategies (selling a put option, cash sale at harvest, and cash sale in June) are simulated based on historical values and ranked based on certainty equivalents for a representative irrigated and dryland cotton farm Scenario analysis is also used to compare varying yield values.Simulation, Marketing, Cotton, Risk, Marketing, Research Methods/ Statistical Methods,

Methyl Bromide Fumigation for controlling the Texas Leafcutting Ant.

4 p

Critical current of a Josephson junction containing a conical magnet

We calculate the critical current of a superconductor/ferromagnetic/superconductor (S/FM/S) Josephson junction in which the FM layer has a conical magnetic structure composed of an in-plane rotating antiferromagnetic phase and an out-of-plane ferromagnetic component. In view of the realistic electronic properties and magnetic structures that can be formed when conical magnets such as Ho are grown with a polycrystalline structure in thin-film form by methods such as direct current sputtering and evaporation, we have modeled this situation in the dirty limit with a large magnetic coherence length ($\xi_f$). This means that the electron mean free path is much smaller than the normalized spiral length $\lambda/2\pi$ which in turn is much smaller than $\xi_f$ (with $\lambda$ as the length a complete spiral makes along the growth direction of the FM). In this physically reasonable limit we have employed the linearized Usadel equations: we find that the triplet correlations are short ranged and manifested in the critical current as a rapid oscillation on the scale of $\lambda/2\pi$. These rapid oscillations in the critical current are superimposed on a slower oscillation which is related to the singlet correlations. Both oscillations decay on the scale of $\xi_f$. We derive an analytical solution and also describe a computational method for obtaining the critical current as a function of the conical magnetic layer thickness.Comment: Extended version of the published paper. Additional information about the computational method is included in the appendi

A Review of the Proposed Michigan Rules of Evidence

On January 6, 1977, the Supreme Court of Michigan entered an order stating that it is considering adoption of the proposed Michigan Rules of Evidence which were submitted to the Court by the committee which it appointed in March 1975. The Court has solicited comments from interested persons regarding the proposed rules. A copy of the Supreme Court\u27s order is published in this issue of the Bar Journal. The proposed rules are published in the January 26, 1977, issue of North Western Reporter, Second Series (Michigan Edition). The purpose of this article is to review in general the background and substance of the proposed rules. More detailed information concerning the rules may be obtained by consulting the text of the rules and the committee notes thereto. It is beyond the scope of this article to discuss in detail the policy considerations supporting adoption of each proposed rule which conflicts with prior Michigan law. For the most part the proposed rules are identical with the Federal Rules of Evidence and the policy considerations favoring adoption of the rules are discussed in the Federal Advisory Committee Notes and the legislative history of the Federal Rules

Long Range Planning for the Environment Circa 2000

The environment that the Armed Services share in the year 2000 will be shaped largely by today\u27s societal trends—economic, political, demographic, technological, and sociological phenomena

Microvascular complications of impaired glucose tolerance.

Journal ArticleImpaired glucose tolerance (IGT) serves as a marker for the state of insulin resistance and predicts both large- and small-vessel vascular complications, independent of a patient's progression to diabetes. Patients with IGT are at significantly increased risk for death and morbidity due to myocardial infarction, stroke, and large-vessel occlusive disease. IGT is more predictive of cardiovascular morbidity than impaired fasting glucose, probably because it is a better surrogate for the state of insulin resistance. IGT is also independently associated with traditional microvascular complications of diabetes, including retinopathy, renal disease, and polyneuropathy, which are the topics of this review. Inhibition of nitric oxide-mediated vasodilation, endothelial injury due to increased release of free fatty acids and adipocytokines from adipocytes, and direct metabolic injury of endothelial and end-organ cells contribute to vascular complications. Early detection of IGT allows intensive diet and exercise modification, which has proven significantly more effective than drug therapy in normalizing postprandial glucose and inhibiting progression to diabetes. To what degree intervention will limit recognized complications is not known

A Review of the Proposed Michigan Rules of Evidence

On January 6, 1977, the Supreme Court of Michigan entered an order stating that it is considering adoption of the proposed Michigan Rules of Evidence which were submitted to the Court by the committee which it appointed in March 1975. The Court has solicited comments from interested persons regarding the proposed rules. A copy of the Supreme Court\u27s order is published in this issue of the Bar Journal. The proposed rules are published in the January 26, 1977, issue of North Western Reporter, Second Series (Michigan Edition). The purpose of this article is to review in general the background and substance of the proposed rules. More detailed information concerning the rules may be obtained by consulting the text of the rules and the committee notes thereto. It is beyond the scope of this article to discuss in detail the policy considerations supporting adoption of each proposed rule which conflicts with prior Michigan law. For the most part the proposed rules are identical with the Federal Rules of Evidence and the policy considerations favoring adoption of the rules are discussed in the Federal Advisory Committee Notes and the legislative history of the Federal Rules

A Tension Shell Structure for Application to Entry Vehicles

The shape of a shell of revolution designed t o have only tensile stresses under axisymmetric aerodynamic loadings has been derived on the basis of linear membrane theory. values of circumferential tension is also given. The results of this paper indicate that the design of an entry vehicle based on the tension shell concept leads to desirable aerodynamic and structural characteristics, namely, high drag and low weight