RiemannHilbert boundary-value problem for The Millennium Problems

By Asset Durmagambetov

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.

• Format: Paperback
• Language: English
• ISBN: 6138825195
• ISBN13: 9786138825197
• Release Date: October 2019
• Publisher: Scholars' Press
• Length: 52 Pages
• Weight: 0.20 lbs.
• Dimensions: 0.1" x 6.0" x 9.0"