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 ...

Publisher: Scholars' Press

Publication Date: 2019

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.