RiemannHilbert boundary-value problem for The Millennium Problems

Durmagambetov, Asset

ISBN 10: 6138825195 / ISBN 13: 9786138825197

Edité par Scholars' Press, 2019

A propos de cet article

pp. 52.

N° de réf. du vendeur 26377679436

Détails bibliographiques

• Titre: RiemannHilbert boundary-value problem for The Millennium Problems
• Éditeur: Scholars' Press
• Date de parution: 2019
• Langue: anglais
• ISBN à 10 chiffres: 6138825195
• ISBN à 13 chiffres: 9786138825197
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

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.