Mathematics of Open Fluid Systems

Häftad, Engelska, 2022

AvEduard Feireisl,Antonin Novotný,Antonin Novotny

1 079 kr

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The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text.

Produktinformation

Utgivningsdatum2022-04-02
Mått155 x 235 x 20 mm
Vikt488 g
FormatHäftad
SpråkEngelska
SerieNečas Center Series
Antal sidor284
FörlagSpringer Nature Switzerland AG
ISBN9783030947927

Tillhör följande kategorier

Part I: Modelling.- Mathematical Models of Fluids in Continuum Mechanics.- Open vs. Closed Systems.- Part II: Analysis.- Generalized Solutions.- Constitutive Theory and Weak-Strong Uniqueness Revisited.-Existence Theory, Basic Approximation Scheme.- Vanishing Galerkin Limit and Domain Approximation.-Vanishing Artificial Diffusion Limit.- Vanishing Artificial Pressure Limit.- Existence Theory - Main Results.-Part III: Qualitative Properties.- Long Time Behavior.- Statistical Solutions, Ergodic Hypothesis, and Turbulence.- Systems with Prescribed Boundary Temperature.

“This book deals with issues related to the delicate problem of open fluid systems, where by open system we mean a system in which an exchange of matter and/or energy can take place with the surrounding environment. The topic is extremely current and relevant … . it is unique in its kind and can represent the starting point for studies and reflections in the field of open systems.” (Francesca Brini, Mathematical Reviews, August, 2023)“This book may be useful to scientists working in the field of hydrodynamics, and the authors were successful in putting their brick into the building of fluid mechanics.” (Aleksey Syromyasov, zbMATH 1504.76003, 2023)