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Well-posedness for the diffusive 3D Burgers equations with initial data in H^1/2
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Pooley, Benjamin C. and Robinson, James C. (2016) Well-posedness for the diffusive 3D Burgers equations with initial data in H^1/2. In: Recent Progress in the Theory of the Euler and Navier–Stokes Equations, Vienna, 2013. Published in: Recent Progress in the Theory of the Euler and Navier–Stokes Equations (430). pp. 137-153. ISBN 9781107554979.
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Official URL: http://www.worldcat.org/oclc/934382679
Abstract
The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Burgers equation | ||||
| Series Name: | London Mathematical Society Lecture Note Series | ||||
| Journal or Publication Title: | Recent Progress in the Theory of the Euler and Navier–Stokes Equations | ||||
| Publisher: | Cambridge University Press | ||||
| ISBN: | 9781107554979 | ||||
| Editor: | Robinson, James C. and Rodrigo, José L. and Sadowski, Witold and Vidal-López, Alejandro and Jiaotong, Xi’an | ||||
| Official Date: | January 2016 | ||||
| Dates: |
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| Number: | 430 | ||||
| Number of Pages: | 246 | ||||
| Page Range: | pp. 137-153 | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Date of first compliant deposit: | 14 March 2016 | ||||
| Date of first compliant Open Access: | 28 July 2016 | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | Recent Progress in the Theory of the Euler and Navier–Stokes Equations | ||||
| Type of Event: | Workshop | ||||
| Location of Event: | Vienna | ||||
| Date(s) of Event: | 2013 | ||||
| Related URLs: |
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