Existence of Multistring Solutions of the Self-Gravitating Massive W−W-Boson

We consider a semilinear elliptic system which include the model system of the $W-$strings in the cosmology as a special case. We prove existence of multi-string solutions and obtain precise asymptotic decay estimates near infinity for the solutions. As a special case of this result we solve an open problem posed in \cite{yan}Comment: 12 page

Preeclampsia & eclampsia

This issue of eMedRef provides information to clinicians on the pathophysiology, diagnosis, and therapeutics of preeclampsia and eclampsia

THE EFFECT OF KOREAN FOLK DANCE EXERCISE TO THE KINEMATIC PARAMETERS FOR DOWN STAIRCASE WALKING OF ELDERLY PEOPLE

According to the Statistics department of Korea in 1991, population aged over 65 years in 1970 was 991,000 people (3.1% of whole population) and it has increased to 3,370,000 people (10.7% of whole population) in 2000. By 2010 Korea will become a full-scale aged society with an estimated population of about 7.53 million, 13.7% of those being the elderly. This phenomenon was occurred primarily due to the fertility reduction by the family planning project which was held since 1962 and extension of average life expectancy. Compared to the foreign countries which manage the aging population over long periods of time, the growth of the elderly population in Korea was faster than any other country in the world. Thus, the preparation for this is very urgent matter. Aging changes their movements and activities of people. Physical and functional degradation due to the aging process affect muscle atrophy, muscle loss, and loss of muscle function (Schlicht, Camaione & Owen, 2001). Muscle weakness affects the balance keeping which is an important factor to cause a falling. Falling is the most common injury of elderly people and even a light fall seriously hurts the elderly and can often lead to death (Leibson, Toteson, Gabriel, Ransom & Melton, 2002). Elderly’s falling occured more often to elderly women than men and 60% of this accident happens during daily activities. Startzell et al. (2000) also indicated that stair decending falls occured three times more often than for stair ascending. Walking downstairs is not only an essential motion but also is the most fearful action for elderly’s daily life process. However, most previous research on the characteristics of stair walking were targeted to normal young people. Thus, in this study, Korean folk dance program as part of rhythmic movement exercise was applied to the elderly women for increasing dynamic balance, stalility and range of motion, and the determined effect of it will be analyzed selected kinematic parameters

Nonexistence of self-similar singularities for the 3D incompressible Euler equations

We prove that there exists no self-similar finite time blowing up solution to the 3D incompressible Euler equations. By similar method we also show nonexistence of self-similar blowing up solutions to the divergence-free transport equation in $\Bbb R^n$. This result has direct applications to the density dependent Euler equations, the Boussinesq system, and the quasi-geostrophic equations, for which we also show nonexistence of self-similar blowing up solutions.Comment: This version refines the previous one by relaxing the condition of compact support for the vorticit

Determination of Dynamic Shear Modulus of Soils from Static Strength

A correlation study between the dynamic shear modulus obtained from the resonant column technique and the static strength obtained from the undrained triaxial compression test is described. The materials studied were a uniform sand, a non-active fine silty clay and a highly-active bentonite clay treated with additives to increase the range for static and dynamic shear strength of the soils. It is noted that a linear relationship exists between the dynamic shear modulus, except for those soil specimens having very low strength, independent of test parameters. Using linear regression analysis, empirical equations for predicting the maximum dynamic shear modulus from the static strength have been obtained for the three different soils

Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction

Replacing linear diffusion by a degenerate diffusion of porous medium type is known to regularize the classical two-dimensional parabolic-elliptic Keller-Segel model. The implications of nonlinear diffusion are that solutions exist globally and are uniformly bounded in time. We analyse the stationary case showing the existence of a unique, up to translation, global minimizer of the associated free energy. Furthermore, we prove that this global minimizer is a radially decreasing compactly supported continuous density function which is smooth inside its support, and it is characterized as the unique compactly supported stationary state of the evolution model. This unique profile is the clear candidate to describe the long time asymptotics of the diffusion dominated classical Keller-Segel model for general initial data.Comment: 30 pages, 2 figure