The continuous fields associated to the corpuscular systems

Călin Vamoş

Ed. Risoprint, Cluj-Napoca, 2007, ISBN 978-973-751-557-5
(the extended version of the PhD thesis)


I. Derivation of Balance Equations

1. Continuous fields

2. Corpuscular systems

3. The derivation of the balance equations

4. Coarse-grained averages

5. The derivation of the Liouville equation

II. Applications of Balance Equations

6. The numerical modeling of diffusion

7. Granular flows

8. The continuous model of the lipidic bilayer

9. Financial hydrodynamics

10. The monotone trend estimation