Theoretical and numerical analysis of the Landau-Khalatnikov model of ferroelectric hysteresis

DOI10.1016/j.cnsns.2020.105524zbMath1457.82448OpenAlexW3084163153MaRDI QIDQ2212043

A. G. Maslovskaya, Andrey E. Kovtanyuk, L. I. Moroz, Alexander Yu. Chebotarev

Publication date: 17 November 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105524

zbMATH Keywords

unique solvabilitycubic-quintic Ginzburg-Landau equationLandau-Khalatnikov equationnumerical modeling of ferroelectric hysteresis

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Experimental work for problems pertaining to statistical mechanics (82-05) Statistical mechanics of ferroelectrics (82D45) Phase transitions (general) in equilibrium statistical mechanics (82B26) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Weak solutions to PDEs (35D30) Problems involving hysteresis in solids (74N30) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (4)

Analysis and computer implementation of the mathematical model of $180^{^\circ}$ domain structures formation in ferroelectrics ⋮ Finite-time synchronization of intermittently controlled reaction-diffusion systems with delays: a weighted LKF method ⋮ Inverse problems for the diffusion-drift model of charging of an inhomogeneous polar dielectric ⋮ Theoretical analysis and numerical implementation of a stationary diffusion-drift model of polar dielectric charging

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