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Theory of needle-crystal

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Publication:1101198
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DOI10.1016/0167-2789(88)90006-1zbMath0642.65093OpenAlexW2152189324MaRDI QIDQ1101198

M. Ben Amar

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90006-1


zbMATH Keywords

isotropic surface tensionWKB analysisgrowth of needle-crystalshape of a steady dendrite growing


Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Statistical mechanics of crystals (82D25)


Related Items (5)

Boundary integral approach for propagating interfaces in a binary non-isothermal mixture ⋮ A note on the linear stability of steady needle crystals with no surface tension ⋮ Existence and uniqueness of analytic solution for unsteady crystals with zero surface tension ⋮ Thermo-solutal and kinetic modes of stable dendritic growth with different symmetries of crystalline anisotropy in the presence of convection ⋮ The boundary integral theory for slow and rapid curved solid/liquid interfaces propagating into binary systems



Cites Work

  • The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
  • Dendrites in the Small Undercooling Limit
  • Unnamed Item


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