Estimates of solutions to the perturbed Stokes system

In this paper we derive local estimates of solutions of the Perturbed Stokes system. This system arises as a reduction of the Stokes system near a curved part of the boundary of the domain if one applies a diffeomorphism flatting the boundary. The estimates obtained in the paper play the crucial role in the investigation of partial regularity of weak solutions to the Navier-Stokes system near a curved part of the boundary of the domain

On some properties of weak solutions to elliptic equations with divergence-free drifts

We discuss the local properties of weak solutions to the equation $-\Delta u + b\cdot\nabla u=0$. The corresponding theory is well-known in the case $b\in L_n$, where $n$ is the dimension of the space. Our main interest is focused on the case $b\in L_2$. In this case the structure assumption $\operatorname{div} b=0$ turns out to be crucial

Recent Advances in Veterinary Medicine

During and since the years of World War II many notable advances have been made in the treatment of human ills and in many cases a secondary development of these discoveries has been the use of new substances in the treatment of disease in domestic animals

The dehorning of cattle

Horns on domesticated cattle serve no useful purpose and are responsible for losses which, in the aggregate, amount to many thousands of pounds every year. Horn-caused bruises lead to reduced prices for beef carcasses, and many cases of mastitis in dairy herds have their origin in udder injuries resulting from horn-prods. In addition, the fear inspired by horned boss cows leads to lowered milk production from their more timid herd-mates, while the possession of horns adds to the risks of handling the herd bulls