Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
One of the most challenging topics in applied mathematics over the past decades has been the developent of the theory of nonlinear partial differential equations. Many of the problems in mechanics, geometry, probability, etc lead to such equations when formulated in mathematical terms. However, despite a long history of contributions, there exists no central core theory, and the most important advances have come from the study of particular equations and classes of equations arising in specific applications.

This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations like the incompressible and compressible Navier-Stokes equations. The main emphasis in Volume 1 is on the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, an original and self-contained study of both the classical Navier-Stokes equations (including the inhomogenous case) and the Euler equations is given. Known results and many new results about the existence and regularity of solutions are presented with complete proofs. The discussion contains many interesting insights and remarks. The text highlights in particular the use of modern analytical tools and methods and also indicates many open problems. Volume 2 will be devoted to essentially new results for compressible models.

Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena.

Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) by Pierre-Louis Lions

From reader reviews:

Richard Martinez:

Do you one of people who can't read satisfying if the sentence chained in the straightway, hold on guys this particular aren't like that. This Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) book is readable simply by you who hate those perfect word style. You will find the info here are arrange for enjoyable reading through experience without leaving even decrease the knowledge that want to offer to you. The writer associated with Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) content conveys the idea easily to understand by many individuals. The printed and e-book are not different in the written content but it just different such as it. So , do you continue to thinking Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) is not loveable to be your top record reading book?

Jennifer Dillon:

Spent a free the perfect time to be fun activity to accomplish! A lot of people spent their leisure time with their family, or all their friends. Usually they doing activity like watching television, about to beach, or picnic within the park. They actually doing same thing every week. Do you feel it? Would you like to something different to fill your current free time/ holiday? Could possibly be reading a book is usually option to fill your no cost time/ holiday. The first thing you ask may be what kinds of reserve that you should read. If you want to try out look for book, may be the book untitled Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) can be very good book to read. May be it may be best activity to you.

Michele Sexton:

Reading a book for being new life style in this yr; every people loves to study a book. When you study a book you can get a wide range of benefit. When you read textbooks, you can improve your knowledge, due to the fact book has a lot of information upon it. The information that you will get depend on what types of book that you have read. If you wish to get information about your examine, you can read education books, but if you act like you want to entertain yourself you can read a fiction books, such us novel, comics, and also soon. The Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) provide you with new experience in reading a book.

Wade Diaz:

Many people spending their period by playing outside having friends, fun activity along with family or just watching TV all day every day. You can have new activity to shell out your whole day by looking at a book. Ugh, you think reading a book really can hard because you have to take the book everywhere? It ok you can have the e-book, bringing everywhere you want in your Smart phone. Like Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models (Oxford Lectures Series in Mathematics and Its Applications) which is obtaining the e-book version. So , try out this book? Let's observe.