Report file quality
lgli/A:\compressed\10.1007%2F978-0-387-21740-6.pdf
The Energy Method, Stability, and Nonlinear Convection (Applied Mathematical Sciences, 91) 🔍
Brian Straughan (auth.) Springer-Verlag New York, Applied Mathematical Sciences, Applied Mathematical Sciences 91, 2, 2004
English [en] · PDF · 9.2MB · 2004 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
description
This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2-4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time.
This volume is a completely revised version of the first edition published in 1992. In addition to an update of material from the first edition, six new chapters have been added, covering topics such as multi-component convection-diffusion, convection flows in a compressible fluid, models of penetrative convection, convection with temperature-dependent viscosity and thermal conductivity, and stability of ocean flows. The final chapter gives details of two very different but highly accurate and efficient methods for numerically solving eigenvalue problems that arise in hydrodynamic stability.
The new methods developed during the last eleven years and presented here will be of use to many readers in applied mathematics, engineering, physics, and other mathematical disciplines.
Alternative filename
lgrsnf/A:\compressed\10.1007%2F978-0-387-21740-6.pdf
Alternative filename
nexusstc/The Energy Method, Stability, and Nonlinear Convection/ad01e3f4588331d6d0f223d45c8c09b8.pdf
Alternative filename
scihub/10.1007/978-0-387-21740-6.pdf
Alternative author
Straughan, Brian
Alternative author
S. S Antman
Alternative publisher
Springer New York : Imprint : Springer
Alternative publisher
Springer Nature
Alternative publisher
Springer US
Alternative publisher
Copernicus
Alternative publisher
Telos
Alternative edition
Applied mathematical sciences (Springer-Verlag New York Inc.), Second edition, New York, NY, 2004
Alternative edition
Applied mathematical sciences (Springer-Verlag New York Inc.), v. 91, 2nd ed, New York, ©2004
Alternative edition
Applied mathematical sciences (Springer-Verlag New York Inc.), 91, 2nd ed, New York, 2011
Alternative edition
Applied mathematical sciences (Springer-Verlag New York Inc.), New York, 2003
Alternative edition
Softcover reprint of hardcover 2nd ed. 2004, 2010
Alternative edition
United States, United States of America
Alternative edition
2, 20130629
metadata comments
sm22136688
metadata comments
{"container_title":"Applied Mathematical Sciences","edition":"2","isbns":["0387217401","1441918248","9780387217406","9781441918246"],"issns":["0066-5452"],"last_page":450,"publisher":"Springer New York","series":"Applied Mathematical Sciences 91"}
Alternative description
<p><p>this Book Describes The Energy Method, A Powerful Technique For Deriving Nonlinear Stability Estimates In Thermal Convection Contexts. It Includes A Very Readable Introduction To The Subject (chapters 2-4), Which Begins At An Elementary Level And Explains The Energy Method In Great Detail, And Also Covers The Current Topic Of Convection In Porous Media, Introducing Simple Models And Then Showing How Useful Stability Results Can Be Derived. In Addition To The Basic Explanation, Many Examples From Diverse Areas Of Fluid Mechanics Are Described. The Book Also Mentions New Areas Where The Methods Are Being Used, For Example, Mathematical Biology And Finance. Several Of The Results Given Are Published Here For The First Time.<p>this Volume Is A Completely Revised Version Of The First Edition Published In 1992. In Addition To An Update Of Material From The First Edition, Six New Chapters Have Been Added, Covering Topics Such As Multi-component Convection-diffusion, Convection Flows In A Compressible Fluid, Models Of Penetrative Convection, Convection With Temperature-dependent Viscosity And Thermal Conductivity, And Stability Of Ocean Flows. The Final Chapter Gives Details Of Two Very Different But Highly Accurate And Efficient Methods For Numerically Solving Eigenvalue Problems That Arise In Hydrodynamic Stability.<p>the New Methods Developed During The Last Eleven Years And Presented Here Will Be Of Use To Many Readers In Applied Mathematics, Engineering, Physics, And Other Mathematical Disciplines.</p> <h3>booknews</h3> <p>a Textbook For A Graduate Or Undergraduate Course, Describing A Technique For Deriving Quantitative Nonlinear Stability Results In Hydrodynamic Convection Problems. Annotation C. Book News, Inc., Portland, Or (booknews.com)</p>
Alternative description
This book is a revised edition of my earlier book of the same title. The cur rent edition adopts the structure of the earlier version but is much changed. The introduction now contains definitions of stability. Chapters 2 to 4 ex plain stability and the energy method in more depth and new sections dealing with porous media are provided. Chapters 5 to 13 are revisions of those in the earlier edition. However, chapters 6 to 12 are substantially revised, brought completely up to date, and have much new material in. Throughout the book new results are provided which are not available elsewhere. Six new chapters, 14 - 19, are provided dealing with topics of current interest. These cover the topics of multi-component convection diffusion, convection in a compressible fluid, convection with temperature dependent viscosity and thermal conductivity, the subject of penetrative convection whereby part of the fluid layer can penetrate into another, nonlinear sta bility in the oceans, and finally in chapter 19 practical methods for solving numerically the eigenvalue problems which arise are presented. The book presents convection studies in a variety of fluid and porous media contexts. It should be accessible to a wide audience and begins at an elementary level. Many new references are provided.
Erscheinungsdatum: 29.11.2010
Alternative description
Front Matter....Pages i-xii
Introduction....Pages 1-6
Illustration of the energy method on simple examples and discussion of linear theory....Pages 7-39
The Navier-Stokes equations and the Bénard problem....Pages 40-58
Symmetry, Competing Effects, and Coupling Parameters....Pages 59-104
Convection problems in a half space....Pages 105-111
Generalized energies and the Lyapunov method....Pages 112-134
Geophysical problems....Pages 135-160
Surface tension driven convection....Pages 161-179
Convection in generalized fluids....Pages 180-192
Time dependent basic states....Pages 193-200
Electrohydrodynamic and magnetohydrodynamic convection....Pages 201-216
Ferrohydrodynamic convection....Pages 217-224
Convective instabilities for reacting viscous fluids far from equilibrium....Pages 225-237
Multi-component convection diffusion....Pages 238-268
Convection in a compressible fluid....Pages 269-290
Convection with temperature dependent fluid properties....Pages 291-312
Penetrative convection....Pages 313-353
Nonlinear stability in ocean circulation models....Pages 354-362
Numerical solution of eigenvalue problems....Pages 363-386
Back Matter....Pages 387-449
Alternative description
In this edition, six new chapters deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convection with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems
date open sourced
2013-08-01
Read more…
Your ad here.

🚀 Fast downloads

Become a member to support the long-term preservation of books, papers, and more. To show our gratitude for your support, you get fast downloads. ❤️

🐢 Slow downloads

From trusted partners. More information in the FAQ. (might require browser verification — unlimited downloads!)

All download options have the same file, and should be safe to use. That said, always be cautious when downloading files from the internet, especially from sites external to Anna’s Archive. For example, be sure to keep your devices updated.
show external downloads
  • For large files, we recommend using a download manager to prevent interruptions.
    Recommended download managers: JDownloader
  • You will need an ebook or PDF reader to open the file, depending on the file format.
    Recommended ebook readers: Anna’s Archive online viewer, ReadEra, and Calibre
  • Use online tools to convert between formats.
    Recommended conversion tools: CloudConvert and PrintFriendly
  • You can send both PDF and EPUB files to your Kindle or Kobo eReader.
    Recommended tools: Amazon‘s “Send to Kindle” and djazz‘s “Send to Kobo/Kindle”
  • Support authors and libraries
    ✍️ If you like this and can afford it, consider buying the original, or supporting the authors directly.
    📚 If this is available at your local library, consider borrowing it for free there.