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ASYMPTOTIC EXPANSION FOR SOLUTIONS OF THE NAVIER-STOKES
EQUATIONS WITH POTENTIAL FORCES
by
Ednei Reis
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Ful llment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(MATHEMATICS)
August 2011
Copyright 2011 Ednei Reis
Object Description
| Title | Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces |
| Author | Reis, Ednei F. |
| Author email | edneirei@usc.edu;ednei82@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Mathematics |
| School | College of Letters, Arts And Sciences |
| Date defended/completed | 2011-05-02 |
| Date submitted | 2011-06-07 |
| Date approved | 2011-06-08 |
| Restricted until | 2011-06-08 |
| Date published | 2011-06-08 |
| Advisor (committee chair) | Kukavica, Igor |
| Advisor (committee member) |
Ziane, Mohammed Newton, Paul |
| Abstract | We derive an asymptotic expansion for smooth solutions of the Navier-Stokes equations in weighted spaces. This result removes previous restrictions on the number of terms of the asymptotics, as well as on the range of the polynomial weights. We also write the expansion in terms of expressions involving non-linear quantities. |
| Keyword | Navier-Stokes equation; asymptotic expansion |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m |
| Rights | Reis, Ednei F. |
| Access conditions | The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the author, as the original true and official version of the work, but does not grant the reader permission to use the work if the desired use is covered by copyright. It is the author, as rights holder, who must provide use permission if such use is covered by copyright. The original signature page accompanying the original submission of the work to the USC Libraries is retained by the USC Libraries and a copy of it may be obtained by authorized requesters contacting the repository e-mail address given. |
| Repository name | University of Southern California Digital Library |
| Repository address | USC Digital Library, University of Southern California, University Park Campus MC 7002, 106 University Village, Los Angeles, California 90089-7002, USA |
| Repository email | cisadmin@usc.edu |
| Archival file | uscthesesreloadpub_Volume71/etd-ReisEdneiF-19.pdf |
Description
| Title | Page 1 |
| Full text | ASYMPTOTIC EXPANSION FOR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS WITH POTENTIAL FORCES by Ednei Reis A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Ful llment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MATHEMATICS) August 2011 Copyright 2011 Ednei Reis |
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