Mathematics of open fluid systems /
Eduard Feireisl, Antonin Novotný.
- xxvii, 284 pages ; 24 cm
- Nečas Center series .
Includes bibliographical references 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.