2D-defocusing nonlinear Schrödinger equation with random data on irrational tori
Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent result on any tori.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer US
2021
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| Online Access: | https://hdl.handle.net/1721.1/132001 |
| _version_ | 1826210515951550464 |
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| author | Fan, Chenjie Ou, Yumeng Staffilani, Gigliola Wang, Hong |
| author_facet | Fan, Chenjie Ou, Yumeng Staffilani, Gigliola Wang, Hong |
| author_sort | Fan, Chenjie |
| collection | MIT |
| description | Abstract
We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent result on any tori. |
| first_indexed | 2024-09-23T14:50:55Z |
| format | Article |
| id | mit-1721.1/132001 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:50:55Z |
| publishDate | 2021 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1320012021-09-21T03:17:20Z 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori Fan, Chenjie Ou, Yumeng Staffilani, Gigliola Wang, Hong Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent result on any tori. 2021-09-20T17:41:21Z 2021-09-20T17:41:21Z 2020-05-07 2021-02-20T04:35:34Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/132001 en https://doi.org/10.1007/s40072-020-00174-7 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer Science+Business Media, LLC, part of Springer Nature application/pdf Springer US Springer US |
| spellingShingle | Fan, Chenjie Ou, Yumeng Staffilani, Gigliola Wang, Hong 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori |
| title | 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori |
| title_full | 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori |
| title_fullStr | 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori |
| title_full_unstemmed | 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori |
| title_short | 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori |
| title_sort | 2d defocusing nonlinear schrodinger equation with random data on irrational tori |
| url | https://hdl.handle.net/1721.1/132001 |
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