نتایج جستجو برای: sivashinsky type equations

تعداد نتایج: 1554492  

Journal: :Discrete and Continuous Dynamical Systems-series B 2023

We consider the stochastic non-autonomous Kuramoto-Sivashinsky equation with multiplicative white noise and colored coefficients. Due to anti-dissipative term in equation, we restrict state space on Lebesgue of odd functions then obtain a pullback random attractor $ \mathcal{A} space, where special bridge function plays an crucial role priori estimate. Moreover, prove continuity expectation for...

2008
Bartosz Protas

Abstract This note discusses certain aspects of computational solution of optimal control problems for fluid systems. We focus on approaches in which the steepest descent direction of the cost functional is determined using the adjoint equations. In the first part we review the classical formulation by presenting it in the context of Nonlinear Programming. In the second part we show some new re...

Journal: :Symmetry 2022

In this article, we investigate the nonlinear model describing various physical and chemical phenomena named Kuramoto–Sivashinsky equation. We implemented natural decomposition method, a novel technique, mixed with Caputo–Fabrizio (CF) Atangana–Baleanu deriavatives in Caputo manner (ABC) fractional derivatives for obtaining approximate analytical solution of equation (FKS). The proposed method ...

Journal: :Symmetry 2021

We study the realized power variations for fourth order linearized Kuramoto–Sivashinsky (LKS) SPDEs and their gradient, driven by space–time white noise in one-to-three dimensional spaces, time, have infinite quadratic variation dimension-dependent Gaussian asymptotic distributions. This class was introduced-with Brownian-time-type kernel formulations Allouba a series of articles starting 2006....

2002
Tobin A. Driscoll TOBIN A. DRISCOLL

A new composite Runge–Kutta (RK) method is proposed for semilinear partial differential equations such as Korteweg–de Vries, nonlinear Schrödinger, Kadomtsev– Petviashvili (KP), Kuramoto–Sivashinsky (KS), Cahn–Hilliard, and others having high-order derivatives in the linear term. The method uses Fourier collocation and the classical fourth-order RK method, except for the stiff linear modes, whi...

2001
Tobin A. Driscoll TOBIN A. DRISCOLL

A new composite Runge–Kutta (RK) method is proposed for semilinear partial differential equations such as Korteweg–de Vries, nonlinear Schrödinger, Kadomtsev– Petviashvili (KP), Kuramoto–Sivashinsky (KS), Cahn–Hilliard, and others having high-order derivatives in the linear term. The method uses Fourier collocation and the classical fourth-order RK method, except for the stiff linear modes, whi...

Journal: :Physical review letters 2009
Matteo Nicoli Rodolfo Cuerno Mario Castro

Nonlocal effects occur in many nonequilibrium interfaces, due to diverse physical mechanisms like diffusive, ballistic, or anomalous transport, with examples from flame fronts to thin films. While dimensional analysis describes stable nonlocal interfaces, we show the morphologically unstable condition to be nontrivial. This is the case for a family of stochastic equations of experimental releva...

2015
Evelyn Lunasin Edriss S. Titi

We present a computational study of a simple finite-dimensional feedback control algorithm for stabilizing solutions of infinite-dimensional dissipative evolution equations such as reaction-diffusion systems, the Navier-Stokes equations and the Kuramoto-Sivashinsky equation. This feedback control scheme takes advantage of the fact that such systems possess finite number of determining parameter...

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