Recent Developments of Mathematical Fluid Mechanics

The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as:
1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.

Riassunto

The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations.  In particular, we are interested in such problems as:


1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.

Dettagli sul prodotto

• Con la collaborazione di: Herbert Amann (Editore), Yoshikazu Giga (Editore), Hideo Kozono (Editore), Hisashi Okamoto (Editore), Masao Yamazaki (Editore), Yoshikaz Giga (Editore), Hideo Kozono et al (Editore)
• Editore: Springer, Basel
• Contenuto: Libro
• Forma del prodotto: Copertina rigida
• Data pubblicazione: 01.01.2016
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi
• EAN: 9783034809382
• ISBN: 978-3-0-3480938-2
• Numero di pagine: 482
• Illustrazioni: IX, 482 p. 4 illus., 1 illus. in color.
• Dimensioni (della confezione): 16.3 x 24.2 x 3.3 cm
• Peso (della confezione): 900 g
• Serie: Advances in Mathematical Fluid Mechanics; Birkhäuser; Advances in Mathematical Fluid Mechanics
• Categorie: Analysis, B, Mathematics and Statistics, Partial Differential Equations, Differential equations, singularity and blow‐up, vorticity