Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise

研究成果: ジャーナルへの寄稿記事

抄録

We show the global-in-time well-posedness of the complex Ginzburg-Landau (CGL) equation with a space-time white noise on the 3-dimensional torus. Our method is based on Mourrat and Weber (Global well-posedness of the dynamic Φ4 3 model on the torus), where Mourrat and Weber showed the global well-posedness for the dynamical Φ4 3 model. We prove a priori L2p estimate for the paracontrolled solution as in the deterministic case [Phys. D 71 (1994) 285-318].

元の言語英語
ページ(範囲)1969-2001
ページ数33
ジャーナルAnnales de l'institut Henri Poincare (B) Probability and Statistics
54
発行部数4
DOI
出版物ステータス出版済み - 11 1 2018

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Space-time White Noise
Complex Ginzburg-Landau Equation
Global Well-posedness
Torus
Well-posedness
Model
Estimate

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

これを引用

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