Theoretical analysis and numerical implementation of a stationary diffusion-drift model of polar dielectric charging

DOI10.1134/S0965542522100037zbMath1502.78007MaRDI QIDQ2090303

Yanyan Li

Publication date: 25 October 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

maximum principlelocal uniquenessglobal solvabilityelectron drift-diffusion modelpolar dielectric charging model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Existence of solutions for minimax problems (49J35) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Statistical mechanics of semiconductors (82D37) Electromagnetic theory (general) (78A25) Motion of charged particles (78A35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Inverse problem of recovering the electron diffusion coefficient ⋮ Inverse problems for the diffusion-drift model of charging of an inhomogeneous polar dielectric

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identification problems for a steady-state model of mass transfer
• Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange
• Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model
• Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation
• Theoretical and numerical analysis of the Landau-Khalatnikov model of ferroelectric hysteresis
• Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field
• Boundary control problem for a nonlinear convection-diffusion-reaction equation
• Inhomogeneous steady-state problem of complex heat transfer
• Stability estimates of solutions to extremal problems for a nonlinear convection-diffusion-reaction equation
• Non-overlapping Domain Decomposition for the Richards Equation via Superposition Operators
• Estimation of the convection coefficient in elliptic equations
• Inverse coefficient problems for a non-linear convection-diffusion-reaction equation
• Coefficient inverse extremum problems for stationary heat and mass transfer equations

This page was built for publication: Theoretical analysis and numerical implementation of a stationary diffusion-drift model of polar dielectric charging