Explorations of singularities in some hydrodynamical partial differential equations (Record no. 432886)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01792nam a2200253 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 241213b |||||||| |||| 00| 0 eng d |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | Eng. |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 517.6 |
| Item number | KOL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kolluru, Venkata Sai Swetha |
| 245 ## - TITLE STATEMENT | |
| Title | Explorations of singularities in some hydrodynamical partial differential equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Bangalore : |
| Name of publisher, distributor, etc | Indian Institute of Science, |
| Date of publication, distribution, etc | 2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 171 p. : |
| Other physical details | ill. |
| Accompanying material | e-Thesis |
| Size of unit | 21.99Mb |
| 500 ## - GENERAL NOTE | |
| General note | Includes bibliographical references. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | PhD;2024;Physics. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The global regularity problem for the 3D Euler equations remains unsolved. The presence of finite-time singularities (FTS) can signal the breakdown of the PDE as a physical model for fluid flow; it is also conjectured to be important for understanding fluid turbulence. Numerical investigations of this problem, albeit painstaking, are useful to isolate candidate initial conditions for FTS. However, the evidence for/against FTS is obscure at best since most numerical schemes breakdown near the time of singularity, due to finite-precision and finite-resolution artefacts. Over the past decades, powerful and creative numerical schemes have emerged from the pursuit of this delicate problem. Owing to the high sensitivity of FTS to errors and numerical artefacts, this problem has catalysed research in the areas of numerical analysis, parallel computing and fluid dynamics alike. The work done in this thesis adds on to the existing body of research in this very direction. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Fluid dynamics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Numerical methods |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Statistical physics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Finite-time singularities |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Euler equations |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Advised by Pandit, Rahul |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://etd.iisc.ac.in/handle/2005/6707 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Thesis |
No items available.
