E. P. Aksenteva, I. G. Salekhova, “Riemann Problem in a Case of Doubly Periodic Arrangements of Arches. I”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008, Volume 150, Book 4,Pages <nobr>66

This article is cited in 2 papers

Riemann Problem in a Case of Doubly Periodic Arrangements of Arches. I

E. P. Aksenteva^a, I. G. Salekhova^b

^a Chair of General Mathematics of Kazan State University
^b Chair of Differential Equations of Kazan State University

Abstract: The paper considers the decision of Riemann problem in a case of doubly periodic arrangements of arches. The case of periodic factor and a free member is regarded. On the basis of results for Riemann problem decision in case of accounting set of contours, generalization on the case of non-periodic jumps is given.

Keywords: Riemann problem, doubly periodic arrangements of arches, elliptic function, quasielliptic function, periodic factor and a free member, accounting set of arches, non-periodic gallop.

UDC: 517.544

Received: 02.12.2008