Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2018247 ◽

2018 ◽

Vol 38 (11) ◽

pp. 5649-5684 ◽

Author(s):

Peng Gao ◽

Keyword(s):

Averaging Principle ◽

Fast Oscillation ◽

Sivashinsky Equation

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Averaging principle for Korteweg–de Vries equation with a random fast oscillation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1165-4 ◽

2019 ◽

Vol 70 (4) ◽

Author(s):

Peng Gao

Keyword(s):

Vries Equation ◽

Averaging Principle ◽

Fast Oscillation ◽

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Averaging Principle for the Higher Order Nonlinear Schrödinger Equation with a Random Fast Oscillation

Journal of Statistical Physics ◽

10.1007/s10955-018-2048-3 ◽

2018 ◽

Vol 171 (5) ◽

pp. 897-926 ◽

Author(s):

Peng Gao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Averaging Principle ◽

Fast Oscillation ◽

Nonlinear Schrödinger

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Weak order in averaging principle for stochastic wave equation with a fast oscillation

Stochastic Processes and their Applications ◽

10.1016/j.spa.2017.09.021 ◽

2018 ◽

Vol 128 (8) ◽

pp. 2557-2580 ◽

Author(s):

Hongbo Fu ◽

Li Wan ◽

Jicheng Liu ◽

Xianming Liu

Keyword(s):

Wave Equation ◽

Averaging Principle ◽

Fast Oscillation ◽

Stochastic Wave Equation

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Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation

Stochastic Analysis and Applications ◽

10.1080/07362994.2019.1689141 ◽

2019 ◽

Vol 38 (2) ◽

pp. 248-276 ◽

Author(s):

Shihu Li ◽

Yingchao Xie

Keyword(s):

Averaging Principle ◽

Fast Oscillation

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Comparative study of sequential data assimilation methods for the Kuramoto-Sivashinsky equation

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1749 ◽

2021 ◽

Author(s):

Suraj A. Pawar ◽

Omer San

Keyword(s):

Data Assimilation ◽

Comparative Study ◽

Sequential Data ◽

Sivashinsky Equation ◽

Sequential Data Assimilation

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Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2014-06274-0 ◽

2014 ◽

Vol 367 (3) ◽

pp. 2159-2212 ◽

Author(s):

Mathew A. Johnson ◽

Pascal Noble ◽

L. Miguel Rodrigues ◽

Kevin Zumbrun

Keyword(s):

Periodic Wave ◽

Spectral Stability ◽

De Vries ◽

Wave Trains ◽

Sivashinsky Equation

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On the Global Existence for the Kuramoto-Sivashinsky Equation

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-09985-1 ◽

2021 ◽

Author(s):

Igor Kukavica ◽

David Massatt

Keyword(s):

Global Existence ◽

Sivashinsky Equation

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Finite-dimensional control of the Kuramoto-Sivashinsky equation under point measurement and actuation

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304032 ◽

2020 ◽

Author(s):

Rami Katz ◽

Emilia Fridman

Keyword(s):

Dimensional Control ◽

Point Measurement ◽

Finite Dimensional ◽

Sivashinsky Equation

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Averaging Principle and Normal Deviations for Multiscale Stochastic Systems

Communications in Mathematical Physics ◽

10.1007/s00220-021-04069-z ◽

2021 ◽

Vol 383 (3) ◽

pp. 1889-1937

Author(s):

Michael Röckner ◽

Longjie Xie

Keyword(s):

Stochastic Systems ◽

Averaging Principle

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Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00578-1 ◽

2021 ◽

Vol 11 (4) ◽

Author(s):

Boumediène Chentouf

Keyword(s):

Exponential Stability ◽

Well Posedness ◽

Sivashinsky Equation ◽

Stability Results

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