Yamazaki Partial Differential Equations in Fluid Mechanics

Deterministic and Stochastic Models
1. Auflage 2026
ISBN: 978-3-11-135018-9
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 294 Seiten

Reihe: De Gruyter Series in Nonlinear Analysis and Applications

This book investigates fundamental models in fluid mechanics, including the Navier–Stokes equations and magnetohydrodynamics system, and develops analytical tools drawn from both harmonic analysis and stochastic analysis. It begins with a review of measure theory and functional analysis, followed by key techniques such as Littlewood–Paley theory from harmonic analysis and Itô calculus from stochastic analysis. Building on this foundation, the book presents recent developments on global regularity, non-uniqueness, and singular stochastic partial differential equations. It also highlights a number of challenging open problems in the field.

Autoren/Hrsg.

Yamazaki, Kazuo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Über Autor(innen)

Kazuo Yamazaki, University of Nebraska-Lincoln, USA