L. Zhixin, B. A. Kats, “Riemann boundary-value problem on Cassini spirals”, Probl. Anal. Issues Anal., 2021, Volume 10(28), Issue 1,Pages <nobr>101

This article is cited in 1 paper

Riemann boundary-value problem on Cassini spirals

L. Zhixin^ab, B. A. Kats^b

^a Tianjin University of Technology and Education(Tianjin China), Road Jingu No.5, Jinnan District, city Tianjin, China
^b Kazan Federal University, 18, Kremlevskaya st., Kazan, 420138, Russia

Abstract: Recently, a number of papers has been published concerning the Riemann boundary-value problems on spiral-like arcs. In all these works, the spiral has the shape close to concentric circles, i. e., with equal rates of torsion in all directions. This paper is the first study of this problem on spirals with oval turns.

Keywords: Rimann boundary-value problem, non-rectifiable curve, spirals, strong torsion, Cassini ovals.

UDC: 517.53

MSC: 30E20

Received: 19.11.2020
Revised: 20.01.2021
Accepted: 21.01.2021

Language: English

DOI: 10.15393/j3.art.2021.9770