Ergodicity of stochastic damped higher-order KdV equation driven by white noise

DOI10.1016/J.AML.2020.106575zbMath1460.60069OpenAlexW3034794803MaRDI QIDQ2006288

Pengfei Xu, Shang Wu, Jian Hua Huang

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106575

zbMATH Keywords

invariant measurewhite noisedamped \(( 2 n + 1 )\)-th order KdV equation

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Global well-posedness and asymptotic behavior of stochastic mKdV equation with fractional dissipation

Cites Work

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• Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the stochastic Korteweg-de Vries equation
• White noise driven Korteweg-de Vries equation
• KdV is well-posed in \(H^{-1}\)
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Ergodicity for Infinite Dimensional Systems
• Existence of invariant measures for the stochastic damped KdV equation

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