Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions (Record no. 50351)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02648nam a22003975a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783037195215 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kuksin, Sergei B., |
| 245 10 - TITLE STATEMENT | |
| Title | Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions |
| Statement of responsibility, etc | Sergei B. Kuksin |
| 260 3# - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Zuerich, Switzerland : |
| Name of publisher | European Mathematical Society Publishing House, |
| Year of publication | 2006 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (102 pages) |
| 490 0# - SERIES STATEMENT | |
| Series statement | Zurich Lectures in Advanced Mathematics (ZLAM) |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The book gives an account of recent achievements in the mathematical theory of two-dimensional turbulence, described by the 2D Navier–Stokes equation, perturbed by a random force. The main results presented here were obtained during the last five to ten years and, up to now, have been available only in papers in the primary literature. Their summary and synthesis here, beginning with some preliminaries on partial differential equations and stochastics, make the book a self-contained account that will appeal to readers with a general background in analysis. After laying the groundwork, the author goes on to recent results on ergodicity of random dynamical systems, which the randomly forced Navier-Stokes equation defines in the function space of divergence-free vector fields, including a Central Limit Theorem. The physical meaning of these results is discussed as well as their relations with the theory of attractors. Next, the author studies the behaviour of solutions when the viscosity goes to zero. In the final section these dynamical methods are used to derive the so-called balance relations - the infinitely many algebraical relations satisfied by the solutions. |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Partial differential equations |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Fluid mechanics |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kuksin, Sergei B., |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.4171/021 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.ems-ph.org/img/books/kuksin_mini.jpg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Zuerich, Switzerland : |
| -- | European Mathematical Society Publishing House, |
| -- | 2006 |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK13727 | https://doi.org/10.4171/021 | E-BOOKS |