On the multiple hyperbolic systems modelling phase transformation kinetics

DOI10.1080/00036811.2013.829263zbMath1391.74012arXiv1305.1741OpenAlexW1981355090MaRDI QIDQ5418582

Yikan Liu, Masahiro Yamamoto

Publication date: 26 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1741

zbMATH Keywords

phase transformationfast numerical methodCahn's time cone methodmultiple hyperbolic equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for higher-order hyperbolic equations (35L30) Crystals in solids (74N05) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

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Inverse Source Problem for a Double Hyperbolic Equation Describing the Three-Dimensional Time Cone Model ⋮ Inverse source problem for the hyperbolic equation with a time-dependent principal part ⋮ Mesoscale modeling of the crystallization parameters identification during the iron-based catalyst preparation process: the dilute concentration case ⋮ A global domain/boundary integral equation method for the inverse wave source and backward wave problems ⋮ An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term ⋮ Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction ⋮ Meshless symplectic and multi-symplectic local RBF collocation methods for Hamiltonian PDEs

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