Title: Partial Differential Equations in Fluid Mechanics: Deterministic and Stochastic Models (De Gruyter Series in Nonlinear Analysis and Applications)
Publisher: De Gruyter
Publication Date: 2026
Language: English
ISBN 10: 3111349756
ISBN 13: 9783111349756
Binding: Hardcover
Condition: New

About this title

Synopsis

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 It� 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.

About the Author

Kazuo Yamazaki, University of Nebraska-Lincoln, USA

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