On resistive magnetohydrodynamic equilibria of an axisymmetric toroidal plasma with flow [PDF]
, 1999 It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal magnetic flux ...
Tasso, H., Throumoulopoulos, G. N.
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Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations
, 2011 Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
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Moment bounds for the corrector in stochastic homogenization of a percolation model [PDF]
, 2013 We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on $\mathbb{Z}^d$, $d>2$. The model is obtained from the classical $\{0,1\}$-Bernoulli bond percolation by conditioning all bonds parallel to the ...
Lamacz, Agnes +2 more
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Social Balance and the Bernoulli Equation [PDF]
The American Mathematical Monthly, 2018 Since the 1940's there has been an interest in the question why social networks often give rise to two antagonistic factions. Recently a dynamical model of how and why such a balance might occur was developed. This note provides an introduction to the notion of social balance and a new (and simplified) analysis of that model.
openaire +2 more sources
Inversion Free Algorithms for Computing the Principal Square Root of a Matrix
International Journal of Mathematics and Mathematical Sciences, 2014 New algorithms are presented about the principal square root of an n×n matrix A. In particular, all the classical iterative algorithms require matrix inversion at every iteration.
Nicholas Assimakis, Maria Adam
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Optical waves solutions for the perturbed Fokas–Lenells equation through two different methods
Results in Physics, 2023 This study examines the perturbed Fokas–Lenells equation using two methods: the Bernoulli sub-equation function method and the 1/G′-expansion method.
Karmina K. Ali +3 more
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Diffusive Propagation of Energy in a Non-Acoustic Chain [PDF]
, 2016 We consider a non acoustic chain of harmonic oscillators with the dynamics perturbed by a random local exchange of momentum, such that energy and momentum are conserved. The macroscopic limits of the energy density, momentum and the curvature (or bending)
Komorowski, Tomasz, Olla, Stefano
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Traveling wave structures of some fourth-order nonlinear partial differential equations
Journal of Ocean Engineering and Science, 2023 This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen +3 more
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A new operational matrix based on Bernoulli polynomials [PDF]
, 2014 In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S. +3 more
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Backward stochastic variational inequalities on random interval
, 2015 The aim of this paper is to study, in the infinite dimensional framework, the existence and uniqueness for the solution of the following multivalued generalized backward stochastic differential equation, considered on a random, possibly infinite, time ...
Maticiuc, Lucian, Răşcanu, Aurel
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