Results 41 to 50 of about 143,321 (273)

Simulation of transient mixed flows based on the exact Riemann solver

Shui kexue jinzhan, 2020
The Preissmann slot method is simple to simulate transient mixed flows, but it has obvious non-physical oscillation. The key to the application of this method is to suppress the non-physical oscillations.
Wanguang SUN, Chengzhen LI, Jun MA, Baoshan FAN   +3 more
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

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

Vestnik 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  

Fourier coefficients associated with the Riemann zeta-function

Karpatsʹkì 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

A canonical system of differential equations arising from the Riemann zeta-function [PDF]

, 2016
This paper has two main results, which relate to a criteria for the Riemann hypothesis via the family of functions $\Theta_\omega(z)=\xi(1/2-\omega-iz)/\xi(1/2+\omega-iz)$, where $\omega>0$ is a real parameter and $\xi(s)$ is the Riemann xi-function. The
Suzuki, Masatoshi
core  

Multimode solutions of first-order elliptic quasilinear systems obtained from Riemann invariants

, 2014
Two new approaches to solving first-order quasilinear elliptic systems of PDEs in many dimensions are proposed. The first method is based on an analysis of multimode solutions expressible in terms of Riemann invariants, based on links between two ...
A. Jeffrey, A. M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, A.M. Grundland, B.A. Dubrovin, B.L. Rozdestvenski, E. Cartan, E. Kamke, E.L. Ince, E.V. Ferapontov, E.V. Ferapontov, F. John, G. Boillat, G.B. Whitham, J. Chakrabarty, J. Czyz, L. Katchanov, M. Burnat, M. Kuranishi, M.J. Ablowitz, P.J. Olver, P.J. Olver, P.W. Doyle, R. Conte, R. Courant, R. Hill, R. Mises, R.K. Luneburg, S. Sobolev, V. Lamothe, V. Lamothe, V. Lamothe, V.E. Zakharov, W. Fushchych, Z. Peradzynski   +38 more
core   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations

, 2010
An alternative method for solving the fractional kinetic equations solved earlier by Haubold and Mathai (2000) and Saxena et al. (2002, 2004a, 2004b) is recently given by Saxena and Kalla (2007).
A Saichev, A Wiman, AM Mathai, BN Al-Saqabi, G.M. Mittag-Leffler, GM Zaslavsky, HJ Haubold, I Podlubny, KB Oldham, KS Miller, MM Dzherbashyan, MM Dzherbashyan, R Hilfer, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, TF Nonnenmacher, WG Gloeckle   +22 more
core   +1 more source

Summability methods based on the Riemann Zeta function [PDF]

International 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

Generalized Chemical Model for Warm Dense Hydrogen: Ionization Potential Depression and Molecular Dissociation Shifts

Contributions to Plasma Physics, EarlyView.
ABSTRACT Warm dense matter (WDM) is a complex state, where quantum effects, thermal excitations, and strong interparticle correlations coexist. Understanding its microscopic composition and medium‐induced modifications of atomic and molecular properties is essential for planetary modeling, fusion research, and high‐energy‐density experiments.
L. T. Yerimbetova, Yu. V. Arkhipov, Ye. S. Mukhametkarimov, A. E. Davletov, I. M. Tkachenko   +4 more
wiley   +1 more source