Mathematics of Open Fluid Systems

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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• Matemática para engenheiros
• Mecânica clássica
• Análise funcional e transforma
• Cálculo diferencial e equações
• Modelação matemática

Mathematical Fluid Mechanics;Open Fluid Systems;Navier-Stokes-Fourier System;Ergodic Hypothesis;Statistical Theory of Turbulence