Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method

DOI10.1016/0022-247X(87)90219-8zbMath0628.45009MaRDI QIDQ1093130

Nicola Bellomo, Luciano M. de Socio

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Adomian's decomposition methodkinetic theory of gasessemidiscrete Boltzmann equationfixed points of functional transformationsinitial/boundary value problemssemilinear type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (3)

Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method ⋮ SYMMETRIC MULTIVARIATE WAVELETS ⋮ A study of the anisotropic static elasticity system in thin domain

Cites Work

• On a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviour
• The semidiscrete Boltzmann equation for hard-spheres
• On a class of nonlinear dynamical systems: the structure of a differential operator in the application of the decomposition method
• Nonlinear equations with mixed derivatives
• Inversion of nonlinear stochastic operators
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