Shape-preserving solutions of the time-dependent diffusion equation
نویسندگان
چکیده
منابع مشابه
Shape - Preserving Solutions of the Time - Dependent Diffusion Equation
Exact solutions to the time-dependent diffusion equation are exhibited which correspond to the diffusion-limited growth of ellipsoidal precipitate particles with constant shape and dimensions proportional to the square root of the time. The asymmetry of the diffusion field in these solutions is consistent with the preservation of the particle's shape during growth even if the diffusivity is ani...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1959
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/108196