Stability of Inverse Transport Equation in Diffusion Scaling and Fokker--Planck Limit

DOI10.1137/17M1157969zbMath1412.82019arXiv1708.03063MaRDI QIDQ4686836

Qin Li, Li Wang, Ke Chen

Publication date: 10 October 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03063

zbMATH Keywords

stabilityinverse problemtransport equationdiffusion limitabsorption and scattering coefficientsFokker-Planck limit

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Hyperbolic equations and hyperbolic systems (35L99) Parabolic equations and parabolic systems (35K99) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Boltzmann equations (35Q20)

Related Items (3)

A New Numerical Approach to Inverse Transport Equation with Error Analysis ⋮ Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization ⋮ Pencil-Beam Approximation of Stationary Fokker--Planck

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