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Global Smooth Solutions for the Inviscid SQG Equation
About this Title
Angel Castro, Departamento de Matemáticas, Universidad Autónoma de Madrid, Instituto de Ciencias Matemáticas-CSIC, C/ Nicolas Cabrera, 13-15, 28049 Madrid, Spain, Diego Córdoba, Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/ Nicolas Cabrera, 13-15, 28049 Madrid, Spain and Javier Gómez-Serrano, Department of Mathematics, Princeton University, 610 Fine Hall, Washington Rd, Princeton, NJ 08544
Publication: Memoirs of the American Mathematical Society
Publication Year:
2020; Volume 266, Number 1292
ISBNs: 978-1-4704-4214-9 (print); 978-1-4704-6247-5 (online)
DOI: https://doi.org/10.1090/memo/1292
Published electronically: July 20, 2020
Keywords: Global existence,
surface quasi-geostrophic,
incompressible,
computer-assisted
MSC: Primary 35Q35, 65G30, 76B03
Table of Contents
Chapters
- 1. Introduction
- 2. The equations
- 3. Main theorem and Crandall-Rabinowitz (C-R) theorem
- 4. Checking the hypotheses of the C-R theorem for the equation 2.7
- A. Asymptotics
- B. Implementation of the computer-assisted part and rigorous numerical results
- C. Finite projections
Abstract
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