Desingularization of vortices for the Euler equation

We study the existence of stationary classical solutions of the incompressible Euler equation in the plane that approximate singular stationnary solutions of this equation. The construction is performed by studying the asymptotics of equation -\eps^2 \Delta u^\eps=(u^\eps-q-\frac{\kappa}{2\pi} \log \frac{1}{\eps})_+^p with Dirichlet boundary conditions and $q$ a given function. We also study the desingularization of pairs of vortices by minimal energy nodal solutions and the desingularization of rotating vortices.Comment: 40 page

A Prospective Three-Year Cohort Study of the Epidemiology and Virology of Acute Respiratory Infections of Children in Rural India

Acute respiratory infection (ARI) is a major killer of children in developing countries. Although the frequency of ARI is similar in both developed and developing countries, mortality due to ARI is 10-50 times higher in developing countries. Viruses are common causes of ARI among such children, yet the disease burden of these infections in rural communities is unknown.A prospective longitudinal study was carried out in children enrolled from two rural Indian villages at birth and followed weekly for the development of ARI, classified as upper respiratory infection, acute lower respiratory infection (ALRI), or severe ALRI. Respiratory syncytial virus (RSV), influenza, parainfluenza viruses and adenoviruses in nasopharyngeal aspirates were detected by direct fluorescent antibody testing (DFA) and, in addition, centrifugation enhanced culture for RSV was done. 281 infants enrolled in 39 months and followed until 42 months. During 440 child years of follow-up there were 1307 ARIs, including 236 ALRIs and 19 severe ALRIs. Virus specific incidence rates per 1000 child years for RSV were total ARI 234, ALRI 39, and severe ALRI 9; for influenza A total ARI 141, ALRI 39; for INF B total ARI 37; for PIV1 total ARI 23, for PIV2 total ARI 28, ALRI 5; for parainfluenza virus 3 total ARI 229, ALRI 48, and severe ALRI 5 and for adenovirus total ARI 18, ALRI 5. Repeat infections with RSV were seen in 18 children.RSV, influenza A and parainfluenza virus 3 were important causes of ARI among children in rural communities in India. These data will be useful for vaccine design, development and implementation purposes

Molecular epidemiology of adenoviruses: alternating appearance of two different genome types of adenovirus 7 during epidemic outbreaks in Europe from 1958 to 1980

Four genome types of adenovirus serotype 7 (Ad7, Ad7a, Ad7b, and Ad7c) were identified by use of DNA restriction enzymes BamHI, EcoRI, and SmaI. We obtained information on the distribution of the four Ad7 genome types by typing 68 Ad7 isolates obtained in the Netherlands from 1958 to 1979 and 36 Ad7 isolates obtained in Sweden from 1964 to 1980. The Ad7 prototype was never detected, and only seven isolates were genome-typed Ad7a. Ad7b and Ad7c accounted for 94% of the genome-typed isolates obtained from patients. Ad7c was isolated in the Netherlands during 1958 to 1969, but only Ad7b has been detected there since 1970. In Sweden, Ad7c was recovered between 1964 to 1972, but only Ad7b has been isolated there since 1973. In conclusion, the newly recognized Ad7b and Ad7c genome types, which in the Netherlands and Sweden represent virtually all genome-typed isolates from patients, show a mutually exclusive appearance.</jats:p