RiemannHilbert boundary-value problem for The Millennium Problems

Durmagambetov, Asset

ISBN 10: 6138825195 / ISBN 13: 9786138825197

Verlag: Scholars' Press, 2019

Beschreibung

pp. 52.

Bestandsnummer des Verkäufers 26377679436

Bibliografische Details

• Titel: RiemannHilbert boundary-value problem for The Millennium Problems
• Verlag: Scholars' Press
• Erscheinungsjahr: 2019
• Sprache: Englisch
• ISBN-10: 6138825195
• ISBN-13: 9786138825197
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.