Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes

DOI10.1137/21M1431333zbMath1492.60197arXiv2106.15186OpenAlexW3176602066MaRDI QIDQ5090122

Dirk Blömker, Shenglan Yuan

Publication date: 15 July 2022

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.15186

zbMATH Keywords

stochastic partial differential equationsamplitude equationsslow-fast systemLévy noisestochastic bifurcationcylindrical stable Lévy processes

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Bifurcation theory for random and stochastic dynamical systems (37H20) Ginzburg-Landau equations (35Q56)

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