The mathematical theory of dilute gases

This book is a revised and updated version, including a substantial portion of new material, of the authors' widely acclaimed earlier text Perturbation Methods in Applied Mathematics. A new chapter dealing with regular expansions has been added, the discussion of layer-type singular perturbatio...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Cercignani, Carlo, 1939-2010, Illner, Reinhard, 1950- (Egilea), Pulvirenti, Mario, 1946-...., mathématicien (Egilea)
Formatua: Livre papier
Hizkuntza:Anglais
Argitaratua: New York (N.Y.) ; Berlin ; Heidelberg [etc.] : Springer C 1994.
Saila:Applied mathematical sciences 106
Gaiak:
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The Mathematical Theory of Dilute Gases, Carlo Cercignani, Reinhard Illner, Mario Pulvirenti, 20XX, Cham, Springer International Publishing, Applied mathematical sciences, 978-1-4419-8524-8
Aurkibidea:
  • Historical introduction
  • Informal derivation of the Boltzmann equation
  • Elementary properties of the solutions
  • Rigorous validity of the Boltzmann equation
  • Existence and uniqueness results
  • The initial value problem for the homogeneous Boltzmann equation
  • Perturbations of equilibria and space homogeneous solutions
  • Boundary conditions
  • Existence results for initial-boundary and boundary value problems
  • Particle simulation of the Boltzmann equation
  • Hydrodynamical limits
  • Open problems and new directions