Global smooth solutions for the inviscid SQG equation /

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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Castro, Angel, 1982- (Autor), Córdoba Gazolaz, Diego, 1971- (Autor), Gomez-Serrano, Javier, 1985- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2020]
Colección:Memoirs of the American Mathematical Society, number 1292
Temas:
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.
Mécanique des fluides.
Dynamique des fluides > Modèles mathématiques.
Calcul sur des intervalles.
Écoulement non visqueux.
Flots (Dynamique différentiable)
Équations différentielles non linéaires > Solutions numériques.
Fonctions de lissage.
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].
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The equations
  • Main theorem and Crandall-Rabinowitz (C-R) theorem
  • Checking the hypotheses of the C-R theorem for the equation 2.7.

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