Global smooth solutions for the inviscid SQG equation

Global smooth solutions for the inviscid SQG equation / Angel Castro, Diego Córdoba, Javier Gómez-Serrano.

"In this memoir, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation"--

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Bibliographic Details
Main Authors:	Castro, Angel, 1982- (Author), Córdoba Gazolaz, Diego, 1971- (Author), Gomez-Serrano, Javier, 1985- (Author)
Format:	eBook
Language:	English
Published:	Providence, RI : American Mathematical Society, [2020]
Series:	Memoirs of the American Mathematical Society, number 1292
Subjects:	Fluid mechanics. Fluid dynamics > Mathematical models. Interval analysis (Mathematics) Inviscid flow. Flows (Differentiable dynamical systems) Differential equations, Nonlinear > Numerical solutions. Smoothness of functions. Geostrophic currents > Mathematical models. Ecuaciones diferenciales Análisis de intervalos (Matemáticas) Mecánica de fluidos Differential equations, Nonlinear > Numerical solutions Fluid dynamics > Mathematical models Fluid mechanics Inviscid flow Smoothness of functions Partial differential equations > Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] > PDEs in connection with fluid mechanics. Numerical analysis > Error analysis and interval analysis > Interval and finite arithmetic. Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} > Incompressible inviscid fluids > Existence, uniqueness, and regularity theory [See also 35Q35].
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Table of Contents:

The equations
Main theorem and Crandall-Rabinowitz (C-R) theorem
Checking the hypotheses of the C-R theorem for the equation 2.7.