Hydrodynamic Limits of the Boltzmann Equation

• Κύριος συγγραφέας: Saint-Raymond, Laure (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1971
• Θέματα: Physics.; Partial differential equations.; Continuum physics.; Statistics.; Classical Continuum Physics.; Partial Differential Equations.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation...

Πίνακας περιεχομένων:

• The Boltzmann equation and its formal hydrodynamic limits
• Mathematical tools for the derivation of hydrodynamic limits
• The incompressible Navier-Stokes limit
• The incompressible Euler limit
• The compressible Euler limit.