03569nam 22006735 450 991055849120332120251113182625.03-030-94793-910.1007/978-3-030-94793-4(MiAaPQ)EBC6944954(Au-PeEL)EBL6944954(CKB)21459958100041(PPN)262171082(OCoLC)1309132296(DE-He213)978-3-030-94793-4(EXLCZ)992145995810004120220401d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematics of Open Fluid Systems /by Eduard Feireisl, Antonin Novotný1st ed. 2022.Cham :Springer International Publishing :Imprint: Birkhäuser,2022.1 online resource (299 pages)Nečas Center Series,2523-3351Print version: Feireisl, Eduard Mathematics of Open Fluid Systems Cham : Springer International Publishing AG,c2022 9783030947927 Includes bibliographical references (pages 270-282) and index.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.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 of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis.Nečas Center Series,2523-3351Functional analysisDifferential equationsMathematical modelsContinuum mechanicsFunctional AnalysisDifferential EquationsMathematical Modeling and Industrial MathematicsContinuum MechanicsFunctional analysis.Differential equations.Mathematical models.Continuum mechanics.Functional Analysis.Differential Equations.Mathematical Modeling and Industrial Mathematics.Continuum Mechanics.620.106532.05015118Feireisl Eduard472389Novotný A.MiAaPQMiAaPQMiAaPQBOOK9910558491203321Mathematics of open fluid systems2979498UNINA