Temperature-dependent surface diffusion near a grain boundary
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Publication:976797
DOI10.1007/S10665-009-9332-9zbMath1188.74004OpenAlexW2065823527MaRDI QIDQ976797
Joanna M. Goard, Philip Broadbridge
Publication date: 16 June 2010
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-009-9332-9
surface diffusionfree boundaryintegrable modelgeneralized hypergeometric functionssymmetry reductions
Structured surfaces and interfaces, coexistent phases (74A50) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)
Related Items (4)
Applications of Integrable Nonlinear Diffusion Equations in Industrial Modelling ⋮ Similarity: Generalizations, applications and open problems ⋮ When central finite differencing gives complex values for a real solution! ⋮ DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT
Cites Work
- Infiltration from supply at constant water content: An integrable model
- On free boundary problems with arbitrary initial and flux conditions
- Nonlinear superposition principles obtained by Lie symmetry methods
- Application of reciprocal Backlund transformations to a class of nonlinear boundary value problems
- On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
- Thermal grooving by surface diffusion for an extended bicrystal abutting a half–space
- An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
- Symmetries and differential equations
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