Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u
Copyright policy )Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u
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.
- La Trobe University Australia
- University of Wollongong Australia
Engineering, electron diffusion, laser-heated plasma, Information and computing sciences, Applied computing, Mathematical sciences, nonlinear diffusion, Science and Technology Studies, conditional integrability, Uncategorized
Engineering, electron diffusion, laser-heated plasma, Information and computing sciences, Applied computing, Mathematical sciences, nonlinear diffusion, Science and Technology Studies, conditional integrability, Uncategorized
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!