RiemannHilbert boundary-value problem for The Millennium Problems - Durmagambetov, Asset
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Dr. Asset Durmagambetov - Dyrektor naukowy Instytutu Technologii Informacyjnych i Komputerowych MI¿DZYNARODOWEJ NAUKI COMPLEX "ASTANA". Wyksztäcenie: 1987 r., doktorat (fizyczno-matematyczny, 01.01.02 - równania ró¿niczkowe), Instytut Matematyczny Akademii Nauk Republiki Kazachstanu, A¿maty, (U.S.S.R.)