Search results for ""Author Fabio Pusateri""
MP-AMM American Mathematical Global Regularity for 2D Water Waves with Surface
Book SynopsisExamines 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.
£62.10