Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u
Keyword(s):
An explicit mapping is given from the space of general complex meromorphic functions to a space of special time-dependent solutions of the 1 + 2-dimensional nonlinear diffusion equation with diffusivity depending on concentration as D = 1 / u. These solutions have constant-flux boundary conditions. Some simple examples are constructed, including that of a line source enclosed by a cylindrical barrier. This has direct application to electron diffusion in a laser-heated plasma.
1991 ◽
Vol 10
(4)
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pp. 411-423
2005 ◽
Vol 357
(1)
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pp. 103-108
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2004 ◽
Vol 45
(9)
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pp. 3444-3452
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2004 ◽
Vol 55
(3)
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pp. 534-538
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Keyword(s):
1997 ◽
Vol 216
(2)
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pp. 593-613
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