Buy Global Regularity for 2D Water Waves with Surface Tension
close menu
Bookswagon
search
My Account
Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Global Regularity for 2D Water Waves with Surface Tension: (Memoirs of the American Mathematical Society)
Global Regularity for 2D Water Waves with Surface Tension: (Memoirs of the American Mathematical Society)

Global Regularity for 2D Water Waves with Surface Tension: (Memoirs of the American Mathematical Society)


     0     
5
4
3
2
1



Available


X
About the Book

The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors' analysis is to develop a sufficiently robust method (the ``quasilinear I-method'') which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called ``division problem''). As a result, they are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions.

Part of the authors' analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.

Table of Contents:

  • Introduction
  • Preliminaries
  • Derivation of the main scalar equation
  • Energy estimates I: high Sobolev estimates
  • Energy estimates II: low frequencies
  • Energy estimates III: weighted estimates for high frequencies
  • Energy estimates IV: weighted estimates for low frequencies
  • Decay estimates
  • Proof of Lemma 8.6
  • Modified scattering
  • Appendix A. Analysis of symbols
  • Appendix B. The Dirichlet-Neumann operator
  • Appendix C. Elliptic bounds
  • Bibliography.


    About the Author :
    Alexandru D. Ionescu, Princeton University, NJ.

    Fabio Pusateri, Princeton University, NJ.


    Best Sellers


    Product Details
    • ISBN-13: 9781470431037
    • Publisher: American Mathematical Society
    • Publisher Imprint: American Mathematical Society
    • Height: 254 mm
    • No of Pages: 119
    • Weight: 205 gr
    • ISBN-10: 1470431033
    • Publisher Date: 30 May 2019
    • Binding: Paperback
    • Language: English
    • Series Title: Memoirs of the American Mathematical Society
    • Width: 178 mm


    Similar Products

    Add Photo
    Add Photo

    Customer Reviews

    REVIEWS      0     
    Click Here To Be The First to Review this Product
    Global Regularity for 2D Water Waves with Surface Tension: (Memoirs of the American Mathematical Society)
    American Mathematical Society -
    Global Regularity for 2D Water Waves with Surface Tension: (Memoirs of the American Mathematical Society)
    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.

    Global Regularity for 2D Water Waves with Surface Tension: (Memoirs of the American Mathematical Society)

    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

      Fresh on the Shelf


      Inspired by your browsing history


      Your review has been submitted!

      You've already reviewed this product!
      Your IP: 216.73.216.17 IN