Results 21 to 30 of about 144 (141)

L∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition

open access: yesDemonstratio Mathematica, 2021
In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda   +2 more
doaj   +1 more source

Fluctuations for Some Nonstationary Interacting Particle Systems via Boltzmann–Gibbs Principle

open access: yesForum of Mathematics, Sigma, 2023
Conjecture II.3.6 of Spohn in [47] and Lecture 7 of Jensen–Yau in [35] ask for a general derivation of universal fluctuations of hydrodynamic limits in large-scale stochastic interacting particle systems. However, the past few decades have witnessed only
Kevin Yang
doaj   +1 more source

Approximate controllability for a stochastic elastic system with structural damping and infinite delay

open access: yesOpen Mathematics, 2023
In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui   +3 more
doaj   +1 more source

The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients

open access: yesOpen Mathematics, 2022
In this paper, the stochastic asymptotic behavior of the nonautonomous stochastic higher-order Kirchhoff equation with variable coefficients is studied.
Lv Penghui, Lin Guoguang, Sun Yuting
doaj   +1 more source

Exact solutions of the stochastic new coupled Konno-Oono equation

open access: yesResults in Physics, 2021
In this paper we consider the stochastic Konno-Oono equation, which is forced by multiplicative noise. In order to find exact solutions of stochastic nonlinear Konno-Oono equations, generalized G′G-expansion method are implemented.
Wael W. Mohammed   +3 more
doaj   +1 more source

The exact solutions of the stochastic Ginzburg–Landau equation

open access: yesResults in Physics, 2021
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed   +5 more
doaj   +1 more source

Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems

open access: yesOpen Mathematics, 2020
The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method.
Fu Yongqiang, Yan Lixu
doaj   +1 more source

F‐Manifolds and geometry of information

open access: yesBulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020
Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley   +1 more source

Effects of Brownian noise strength on new chiral solitary structures

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2023
In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi   +2 more
doaj   +1 more source

Kolmogorov’s theory of turbulence and its rigorous 1d model

open access: yes, 2021
International audienceThis paper is a synopsis of the recent book [9]. The latter is dedicated to the stochastic Burgers equation as a model for 1d turbulence, and the paper discusses its content in relation to the Kolmogorov theory of turbulence.[9 ...
Kuksin, Sergei
core   +1 more source

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