The fluid dynamical limit of the Carleman equation with reflecting boundary

DOI10.1016/0362-546X(82)90039-6zbMath0508.35015MaRDI QIDQ4746142

William Edward Fitzgibbon

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

reflecting boundaryCarleman's equationfluid dynamical limitapproximation of nonlinear semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Initial-boundary value problems for first-order hyperbolic systems (35L50) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Asymptotic preserving time‐discretization of optimal control problems for the Goldstein–Taylor model

Cites Work

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• The central limit theorem for Carleman's equation
• Differentiability of a nonlinear semigroup in \(L^1\)
• Sur la résolution exacte et approchee d'un problème hyperbolique non linéaire de T. Carleman
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• The semigroup approach to first order quasilinear equations in several space variables
• Nonlinear perturbations of linear accretive operators in Banach spaces
• Initial value problems for the Carleman equation
• Convergence of semigroups with an application to the carleman equation
• Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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