The objective of this work is to investigate the time discretization of two dimensional Navier-Stokes system with the slip boundary conditions. First, the existence of weak solutions for a fixed time step 4t > 0 is presented and then the limit passage as 4t → 0 is carried out. The proof is based on a new technique established for the steady Navier-Stokes equations by Mucha P. B. and Pokorný M. ...

Thomas Marryat was born in London in the year 1730. He had a retentive memory and a great love for letters from an early age. He read and spoke Latin with ease, and it is said that he could read any Greek author, even Lycophron, at nine years old. Coming of a long line of Puritan ancestry, he was intended for the dissenting ministry, but literature, the muses and the pleasures of the town had g...

1747-938X/$ see front matter 2013 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.edurev.2013.10.001 ⇑ Corresponding author. Address: Graduate Institute of Science Education, National Taiwan Normal University, No. 88, Sec. 4, Ting-Zhou Rd., Ta Taiwan. Tel.: +886 2 77346801; fax: +886 2 29327630. E-mail address: [email protected] (F.-Y. Yang). Meng-Lung Lai , Meng-Jung Tsai , F...

The anti-scurvy properties of oranges and lemons were first reported in 1747 by Dr. John Lind, a ship’s surgeon in the British Royal Navy, in his Treatise on the Scurvy. It took almost two hundred years before ascorbic acid or vitamin C was chemically identified and synthesized in 1933. For this work Szent-Gyorgyi and Walter Norman Haworth shared the Nobel Prize in Chemistry in 1937. This vitam...

1. R. P. Gosselin, Some integral inequalities, Proc. Amer. Math. Soc. 13 (1962), 378-384. 2. J. L. Lions and J. Peetre, Propriétés d'espaces d'interpolation, C. R. Acad. Sci. Paris 253 (1961), 1747-1749. 3. J. Peetre, Relations d'inclusion entre quelques espaces fonctionnels, Kungl. Fysiogr. Sallsk. i Lund Förh. 30 (1960), 47-50. 4. L. N. Slobodeckij, On the embedding of the space Wv l n into t...

Today is International Clinical Trials' Day, which is always celebrated around the 20th of May, the day during the Spring of 1747 when James Lind began a clinical trial that produced useful information to understand, treat and prevent scurvy. The reason why many of us still dedicate a celebration to James Lind goes well beyond the intrinsic value of his trial, which actually had many flaws and ...