Existence and BV-Regularity for Neutron Transport Equation in NonConvex Domain

DOI10.1137/16M1059035zbMath1362.35203arXiv1603.04975OpenAlexW2962957398MaRDI QIDQ2823011

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Publication date: 6 October 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04975

zbMATH Keywords

boundary conditionsBoltzmann equationkinetic equationsexistence and regularity of solutionsstochastic cycles

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (1)

Propagation of boundary-induced discontinuity in stationary radiative transfer

Cites Work

• Unnamed Item
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• BV-regularity of the Boltzmann equation in non-convex domains
• Non-isothermal boundary in the Boltzmann theory and Fourier law
• Regularity of the Boltzmann equation in convex domains
• Formation and propagation of discontinuity for Boltzmann equation in non-convex domains
• Decay and continuity of the Boltzmann equation in bounded domains
• Abstract time-dependent transport equations
• Boundary layers and homogenization of transport processes
• The mathematical theory of dilute gases
• A generation theorem for kinetic equations with non-contractive boundary operators.
• Singular solutions of the Vlasov-Maxwell system on a half line
• On the spectrum of a one-velocity transport operator with Maxwell boundary condition
• Geometric correction for diffusive expansion of steady neutron transport equation
• Semigroup generation properties of streaming operators with noncontractive boundary conditions
• Asymptotic Theory of the Linear Transport Equation for Small Mean Free Paths. II
• On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment
• A functional‐analytic approach to the steady, one‐speed neutron transport equation with anisotropic scattering
• Positive Solutions and Criticality of the Linear and Some Nonlinear Neutron Transport Problems
• Diffusion Approximation and Computation of the Critical Size
• Diffusion Approximation for Linear Transport with Multiplying Boundary Conditions
• Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions
• A Nonlinear Boltzmann Equation in Transport Theory

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