التفاصيل البيبلوغرافية
| العنوان: |
A review of basic theoretical results concerning the Navier-Stokes and other similar equations |
| المؤلفون: |
Fernández Cara, Enrique |
| المساهمون: |
Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
| بيانات النشر: |
Sociedad Española de Matemática Aplicada |
| سنة النشر: |
2016 |
| المجموعة: |
idUS - Deposito de Investigación Universidad de Sevilla |
| مصطلحات موضوعية: |
Navier-Stokes equations, nonlinear PDE’s in fluid mechanics, compactness methods for nonlinear PDE’s, Galerkin’s approximations, existence, uniqueness and regularity results |
| الوصف: |
These notes are devoted to provide an introductory approach to the Navier-Stokes and some other related equations. Most concepts and arguments recalled below are very general and we believe that this presentation can be of help for the theoretical analysis of many PDE’s arising from Sciences and Engineering. First, we recall the Navier-Stokes equations, we explain the meaning of the variables and data and we state some technical results needed for our study. Then, we state and give the proofs of some basic existence, uniqueness and regularity results. In the proof of existence, we apply usual compactness arguments to a family of Galerkin approximations. We also discuss briefly some of the main open problems arising in the three-dimensional case. In a final section, we review briefly the state of the art for other similar equations and we indicate some related open questions. |
| نوع الوثيقة: |
article in journal/newspaper |
| اللغة: |
English |
| Relation: |
Boletín de la Sociedad Española de Matemática Aplicada, 32, 45-73.; https://idus.us.es/handle/11441/41423 |
| الاتاحة: |
https://idus.us.es/handle/11441/41423 |
| Rights: |
Attribution-NonCommercial-NoDerivatives 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: |
edsbas.9BA26E52 |
| قاعدة البيانات: |
BASE |