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 |
| 巻 | 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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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
これを引用
Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise. / Hoshino, Masato.
：: Annales de l'institut Henri Poincare (B) Probability and Statistics, 巻 54, 番号 4, 01.11.2018, p. 1969-2001.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise
AU - Hoshino, Masato
PY - 2018/11/1
Y1 - 2018/11/1
N2 - 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].
AB - 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].
UR - http://www.scopus.com/inward/record.url?scp=85055467798&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055467798&partnerID=8YFLogxK
U2 - 10.1214/17-AIHP862
DO - 10.1214/17-AIHP862
M3 - Article
AN - SCOPUS:85055467798
VL - 54
SP - 1969
EP - 2001
JO - Annales de l'institut Henri Poincare (B) Probability and Statistics
JF - Annales de l'institut Henri Poincare (B) Probability and Statistics
SN - 0246-0203
IS - 4
ER -