Results 41 to 50 of about 6,205 (243)

Fourier coefficients associated with the Riemann zeta-function

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
We study the Riemann zeta-function $\zeta(s)$ by a Fourier series method. The summation of $\log|\zeta(s)|$ with the kernel $1/|s|^{6}$ on the critical line $\mathrm{Re}\; s = \frac{1}{2}$ is the main result of our investigation.
Yu.V. Basiuk, S.I. Tarasyuk
doaj   +1 more source

The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke   +3 more
wiley   +1 more source

On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
Ekaterina A Maksimova
doaj  

Creep properties and constitutive model of diabase in deep water conveyance tunnels

open access: yesDeep Underground Science and Engineering, EarlyView.
The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao   +5 more
wiley   +1 more source

Numerical Calculations of the GRP Scheme for Nonconservative Ideal Fluid Mechanics Equations Relying on Parallel Calculation of Multifluid Grids

open access: yesAdvances in Multimedia, 2021
In order to solve the numerical method of nonconservative ideal hydrodynamics equations, the viscous perturbation technique for solving nonconservative hydrodynamics equations is improved and tested by solving the Riemann problem.
Huijing Zhan, Mingze Wu
doaj   +1 more source

Summability methods based on the Riemann Zeta function [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable. A zeta summability matrix Zt associated with a real sequence t is introduced; a necessary and sufficient condition on the sequence t such that Zt maps l1 to l1 ...
openaire   +3 more sources

Robust Control Using a Matrix Converter to Enhance Wind Turbine Systems

open access: yesEnergy Science &Engineering, EarlyView.
This study uses a more efficient and effective solution to improve the operational performance of a wind turbine‐based power system. This system uses a doubly fed induction generator and relies on a matrix converter and fractional‐order proportional–integral controller.
Sihem Ghoudelbourk   +4 more
wiley   +1 more source

Boundary control problem for the telegraph equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In the paper we consider the boundary control problem for the telegraph equation. We study the case of the short period of control, when the initial and final data determine the solution in two regions, having the common part.
Elena A Kozlova
doaj  

Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas

open access: yesOpen Mathematics, 2019
The solutions to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas are constructed for all kinds of situations by using the method of phase plane analysis.
Zhang Yunfeng, Sun Meina, Lin Xiuli
doaj   +1 more source

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

open access: yesResults in Physics, 2018
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif   +2 more
doaj   +1 more source

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