Navier-Stokes Equations and Nonlinear Functional Analysis
Home > Mathematics and Science Textbooks > Mathematics > Applied mathematics > Navier-Stokes Equations and Nonlinear Function Analysis: (CBMS-NSF Regional Conference Series in Applied Mathematics)
Navier-Stokes Equations and Nonlinear Function Analysis: (CBMS-NSF Regional Conference Series in Applied Mathematics)

Navier-Stokes Equations and Nonlinear Function Analysis: (CBMS-NSF Regional Conference Series in Applied Mathematics)


     0     
5
4
3
2
1



Available


About the Book

This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behaviour of solutions and attractors; and numerical analysis of the Navier Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite dimensional one called the inertial system. Although the theory of inertial manifolds for Navier Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition. Part I presents the Navier Stokes equations of viscous incompressible fluids and the main boundary value problems usually associated with these equations. The case of the flow in a bounded domain with periodic or zero boundary conditions is studied and the functional setting of the equation as well as various results on existence, uniqueness, and regularity of time dependent solutions are given. Part II studies the behavior of solutions of the Navier Stokes equation when t approaches infinity and attempts to explain turbulence. Part III treats questions related to numerical approximation. In the Appendix, which is new to the second edition, concepts of inertial manifolds are described, definitions and some typical results are recalled, and the existence of inertial systems for two dimensional Navier Stokes equations is shown.

Table of Contents:
Preface to the Second Edition Introduction Part I: Questions Related to the Existence, Uniqueness and Regularity of Solutions Chapter 1: Representation of a Flow. The Navier-Stokes Equations Chapter 2: Functional Setting of the Equations Chapter 3: Existence and Uniqueness Theorems (Mostly Classical Results) Chapter 4: New a priori Estimates and Applications Chapter 5: Regularity and Fractional Dimension Chapter 6: Successive Regularity and Compatibility Conditions at t=0 (Bounded Case) Chapter 7: Analyticity in Time Chapter 8: Lagrangian Representation of the Flow Part II: Questions Related to Stationary Solutions and Functional Invariant Sets (Attractors) Chapter 9: The Couette-Taylor Experiment Chapter 10: Stationary Solutions of the Navier-Stokes Equations Chapter 11: The Squeezing Property Chapter 12: Hausdorff Dimension of an Attractor Part III: Questions Related to the Numerical Approximation Chapter 13: Finite Time Approximation Chapter 14: Long Time Approximation of the Navier-Stokes Equations Appendix: Inertial Manifolds and Navier-Stokes Equations Comments and Bibliography Comments and Bibliography: Update for the Second Edition References.


Best Sellers


Product Details
  • ISBN-13: 9780898713404
  • Publisher: Society for Industrial & Applied Mathematics,U.S.
  • Publisher Imprint: Society for Industrial & Applied Mathematics,U.S.
  • Edition: New edition
  • Language: English
  • Returnable: N
  • Spine Width: 10 mm
  • Width: 152 mm
  • ISBN-10: 0898713404
  • Publisher Date: 31 Dec 1996
  • Binding: Paperback
  • Height: 229 mm
  • No of Pages: 165
  • Series Title: CBMS-NSF Regional Conference Series in Applied Mathematics
  • Weight: 280 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Navier-Stokes Equations and Nonlinear Function Analysis: (CBMS-NSF Regional Conference Series in Applied Mathematics)
Society for Industrial & Applied Mathematics,U.S. -
Navier-Stokes Equations and Nonlinear Function Analysis: (CBMS-NSF Regional Conference Series in Applied Mathematics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Navier-Stokes Equations and Nonlinear Function Analysis: (CBMS-NSF Regional Conference Series in Applied Mathematics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!