RiemannHilbert boundary-value problem for The Millennium Problems

Durmagambetov, Asset

ISBN 10: 6138825195 / ISBN 13: 9786138825197

Published by Scholars' Press, 2019

About this Item

pp. 52.

Seller Inventory # 26377679436

Bibliographic Details

• Title: RiemannHilbert boundary-value problem for The Millennium Problems
• Publisher: Scholars' Press
• Publication Date: 2019
• Language: English
• ISBN 10: 6138825195
• ISBN 13: 9786138825197
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Using the example of a complicated problem such as the Cauchy problem for the Navier--Stokes equation, we show how the Poincare--Riemann--Hilbert boundary-value problem enables us to construct effective estimates of solutions for this case. The apparatus of the three-dimensional inverse problem of quantum scattering theory is developed for this. It is shown that the unitary scattering operator can be studied as a solution of the Poincare-Riemann--Hilbert boundary-value problem. The same scheme of reduction of Riemann integral equations for the zeta function to the Poincare--Riemann--Hilbert boundary-value problem allows us to construct effective estimates that describe the behaviour of the zeros of the zeta function very well.