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Record Nr. |
UNINA9910558491203321 |
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Autore |
Feireisl Eduard |
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Titolo |
Mathematics of Open Fluid Systems / / by Eduard Feireisl, Antonin Novotný |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
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ISBN |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (299 pages) |
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Collana |
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Nečas Center Series, , 2523-3351 |
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Disciplina |
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Soggetti |
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Functional analysis |
Differential equations |
Mathematical models |
Continuum mechanics |
Functional Analysis |
Differential Equations |
Mathematical Modeling and Industrial Mathematics |
Continuum Mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references (pages 270-282) and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. A class |
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