A Lagrangian approach for solving models of fluid dynamics in critical spaces. (Record no. 34619)
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| fixed length control field | 03132n a2200289#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 35761 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140529.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 140904s2014 bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Congressos e Seminários. |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Danchin, Raphaël |
| Affiliation | (UPEC-Université Paris-Est Créteil, France) |
| 9 (RLIN) | 6503 |
| 245 12 - TITLE STATEMENT | |
| Title | A Lagrangian approach for solving models of fluid dynamics in critical spaces. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | The Fourth Workshop on Fluids and PDE was held at the National Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil, from Monday 26 May to Friday 30 May 2014. This workshop is held every two to three years in Brazil. The fourth edition of the workshop was the closing event of a Thematic Program on Incompressible Fluids Dynamics, to be held at IMPA next Spring. Hence, the focus of the workshop will be incompressible fluid mechanics . |
| 505 2# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | A number of recent works have been devoted to solving system of PDEs governing the evolution of viscous fluids, in so-called critical spaces (a terminology borrowed from the pioneering work by Fujita and Kato on the incompressible Navier-Stokes equations). All those works are mostly based on estimates for the heat flow, for the transport equation and on nonlinear estimates in functional spaces that are scaling invariant (or almost scaling invariant) for the system under consideration. Owing to the hyperbolic nature of the mass equation however, a loss of one derivative occurs in the stability estimates related to the system. Consequently, as critical regularity solutions are not so regular, some restrictions appear on admissible spaces for initial data regarding the well-posedness issue. In the present talk, we will show that using Lagrangian coordinates transforms the mixed type system of PDEs into a parabolic type one, which allows to solve it directly by means of Banach fixed point theorem, and to avoid the loss of derivative. That method turns out to be quite robust. In the talk, we will show how it may be implemented on the density dependent incompressible Navier-Stokes equations, on the isentropic compressible Navier-Stokes equations, and on the full Navier-Stokes equations in the heat-conductive case . |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Congressos e Seminários. |
| Linkage | 23755 |
| 711 2# - ADDED ENTRY--MEETING NAME | |
| Meeting name or jurisdiction name as entry element | Workshop on Fluids |
| Number of part/section/meeting | (IV: |
| Date of meeting or treaty signing | 2014: |
| Location of meeting | IMPA, Rio de Janeiro, Brazil) |
| 9 (RLIN) | 6490 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | VIDEO |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=O-GUn3mlbWc&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=20&t=0s">https://www.youtube.com/watch?v=O-GUn3mlbWc&list=PLo4jXE-LdDTRo-UkmrGNasyLvdoV4YrBq&index=20&t=0s</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | EVENTO |
| Uniform Resource Identifier | <a href="https://impa.br/sobre/memoria/reunioes-cientificas/iv-workshop-em-fluidos-e-edp/">https://impa.br/sobre/memoria/reunioes-cientificas/iv-workshop-em-fluidos-e-edp/</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | RESUMO |
| Uniform Resource Identifier | <a href="https://impa.br/wp-content/uploads/2017/12/IVFluidsEDP_booklet.pdf">https://impa.br/wp-content/uploads/2017/12/IVFluidsEDP_booklet.pdf</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
No items available.