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The mathematical theory of dilute gases/ Carlo Cercignani, Reinhard Illner, Mario Pulvirenti.

By: Contributor(s): Series: Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 106.Publication details: New York: Springer-Verlag, c1994.Description: vii, 347 p.: ill.; 25 cmISBN:
  • 0387942947
  • 3540942947 (Berlin)
Subject(s): DDC classification:
  • 530.4  C412m
Contents:
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Includes bibliographical references and indexes.

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 .

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