Rigorous results in selection of steady needle crystals.
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Publication:1426095
DOI10.1016/S0022-0396(03)00184-0zbMath1040.80003OpenAlexW2080079403MaRDI QIDQ1426095
Publication date: 14 March 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00184-0
Integro-ordinary differential equations (45J05) Stefan problems, phase changes, etc. (80A22) Thermodynamics of continua (80A17) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Crystals in solids (74N05) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items
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 ⋮ Existence and selection of steady bubbles in a Hele-Shaw cell ⋮ Well-posedness of a needle crystal growth problem with anisotropic surface tension ⋮ Existence and uniqueness of solution in Sobolev space for an unsteady crystal growth problem with zero surface tension ⋮ Analyticity of classical steady needle crystals
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- Axisymmetric three-dimensional finger solutions in Mullins-Sekerka equation
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