Description

Book Synopsis
Examines the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and proves global regularity and modified scattering for suitably small and localized perturbations of a flat interface.

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.

    Global Regularity for 2D Water Waves with Surface

      Product form

      £62.10

      Includes FREE delivery

      RRP £69.00 – you save £6.90 (10%)

      Order before 4pm today for delivery by Mon 22 Jun 2026.

      A Paperback by Alexandru D. Ionescu, Fabio Pusateri

      4 in stock


        View other formats and editions of Global Regularity for 2D Water Waves with Surface by Alexandru D. Ionescu

        Publisher: MP-AMM American Mathematical
        Publication Date: 5/30/2019 12:00:00 AM
        ISBN13: 9781470431037, 978-1470431037
        ISBN10: 1470431033

        Description

        Book Synopsis
        Examines the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and proves global regularity and modified scattering for suitably small and localized perturbations of a flat interface.

        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.

          Recently viewed products

          © 2026 Book Curl

            • American Express
            • Apple Pay
            • Diners Club
            • Discover
            • Google Pay
            • Maestro
            • Mastercard
            • PayPal
            • Shop Pay
            • Union Pay
            • Visa

            Login

            Forgot your password?

            Don't have an account yet?
            Create account