The stochastic stabilized Kuramoto-Sivashinsky equation: a model for compact electrodeposition growth. Javier Buceta,Juanma Pastor,Miguel A. Rubio and F. Javier de la Rubia. Physics Letters . 1997J. Buceta, J. Pastor, M.A. Rubio, F.J. de la Rubia, The stochastic Kuramoto- Sivashinsky equation: a model for compact ...
Stochastic Kuramoto-Sivashinsky equationThis paper is addressed to study the null controllability with constraints on the state for the linear stochastic Kuramoto–Sivashinsky equation. We transform the problem into an equivalent null controllability problem with constraint on the control. Using a Carleman...
Kuramoto-Sivashinsky方程 1. Boundary control of theKuramoto-Sivashinsky equationwith external excitation; 扰动的Kuramoto-Sivashinsky方程的边界控制 2. Long-time behavior of finite difference solutions of generalizedKuramoto-Sivashinsky equations in autonomouse systems; ...
1) stochastic Ginzburg-Landau equation 随机Ginzburg-Landau方程 1. In this paper,we numerically investigate stochastic Kuramoto-Sivashinsky equation andstochastic Ginzburg-Landau equationwith a stochastic contribution which is of additive noise type.
Our aim is to attempt to obtain a so-called pull-back random attractor for stochastic KuramotoSivashinsky equation. In particular, the Hausdorff dimension of a random attractor is finite. For simplicity, we always restrict ourselves to odd initial conditions, but the result for all initial ...
large deviationsmoderate deviationsweak convergenceThis paper aims to establish the central limit theorem and moderate deviation principle for the stochastic Kuramoto–Sivashinsky equation driven by multiplicative noise on a bounded domain. The moderate deviation principle is investigated using the weak ...
For the one-dimensional KuramotoSivashinsky equation with random forcing term, existence and uniqueness of solutions is proved. Then, the Markovian semigroup is well defined; its properties are analyzed in order to provide sufficient conditions for existence and uniqueness of invariant measures for this...
stochastic differential equationstrong convergencenumerical approximationstochastic Kuramoto–Sivashinsky equationscoercivity-type conditionaccelerated exponential Euler approximationsThis article introduces and analyzes a new explicit, easily implementable, and full-discrete accelerated exponential Euler-type approximation ...
Stochastic Kuramoto–Sivashinsky equationmatrix equationcontrol theoryWe outline a derivation of a nonlinear system of equations, which finds the entries of an $$m \\times N$$ matrix $$K$$, given the eigenvalues of a matrix $$D$$, a diagonal $$N \\times N$$ matrix $$A$$ and an $...
广义变系数Kuramoto-Sivashinsky方程改进的CK方法对称约化精确解应用修正的CK直接约化方法,得到了广义变系数Kuramoto-Sivashinsky方程与其对应的常系数方程解之间的关系,利用李群方法得到了常系数Kuramoto-Sivashinsky方程的一些显式解,从而获得了广义变系数Kuramoto-Sivashinsky方程的新解....