MAXWELL REVISITED

Global weak solutions to the relativistic Vlasov-Maxwell system revisited

In their seminal work [3], R. DiPerna and P.-L. Lions established the existence of global weak solutions to the Vlasov-Maxwell system. In the present notes we give a somewhat simplified proof of this result for the relativistic version of this system, the main purpose being to make this important result of kinetic theory more easily accessible to newcomers in the field. We show that the weak so...

QUICKSELECT Revisited

We give an overview of the running time analysis of the random divide-and-conquer algorithm FIND or QUICKSELECT. The results concern moments, distribution of FIND’s running time, the limiting distribution, a stochastic bound and the key: a stochastic fixed point equation.

PENDRED\'S SYNDROME REVISITED

Pendred's syndrome is defined as a triad of congenital perceptive hearing loss, goiter, and abnormal perchlorate test. Three brothers with Pendred's syndrome [P.S.] are reported. The oldest brother has hearing loss (he has been deaf and mute since childhood) and has a large goiter. A thyroid scan revealed euthyroid multinodular goiter and a perchlorate test was performed, and reported abno...

Global Weak Solutions to the Relativistic Vlasov - Maxwell System Revisited 1

Abstract. In their seminal work [3], R. DiPerna and P.-L. Lions established the existence of global weak solutions to the Vlasov-Maxwell system. In the present notes we give a somewhat simplified proof of this result for the relativistic version of this system, the main purpose being to make this important result of kinetic theory more easily accessible to newcomers in the field. We show that t...

Faraday versus Maxwell Faraday or Maxwell ?