CONTRIBUTIONS TO PROBLEMS OF THE THEORY OF JETS IN IDEAL FLUIDS SOLVED WITH THE USE OF ELLIPTIC FUNCTIONS THEORY

A number of plane inviscid jet flow problems of interest in naval hydr odynamics require the use of the elliptic functions theory. Generally speaking, finding the general solution to a problem in terms of ellipt ic functions is not a complicated task. However, finding solutions as rapidly convergent infinite series or as sound asymptotic formulas is often not so easy, and special ways of treatment may prove to be neces sary. In this paper-which continues and completes the author's earlier papers (1985, 1992)-the source of difficulties (in the case when solu tions to problems are expressed as quotients of the elliptic theta-fun ctions) is revealed, and the ways of treatment are discussed.