Ebook: Topics in Mathematical Fluid Mechanics: Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.

---

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.

---

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.
Content:
Front Matter....Pages i-ix
Complex Fluids and Lagrangian Particles....Pages 1-21
Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction....Pages 23-108
Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions....Pages 109-197
Analysis of Generalized Newtonian Fluids....Pages 199-238
Selected Topics of Local Regularity Theory for Navier–Stokes Equations....Pages 239-313
Back Matter....Pages 315-316

---

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.
Content:
Front Matter....Pages i-ix
Complex Fluids and Lagrangian Particles....Pages 1-21
Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction....Pages 23-108
Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions....Pages 109-197
Analysis of Generalized Newtonian Fluids....Pages 199-238
Selected Topics of Local Regularity Theory for Navier–Stokes Equations....Pages 239-313
Back Matter....Pages 315-316
....