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Multidimensional nonlinear diffusion equation: Spatial time dependent diffusion coefficient and external forces

โœ Scribed by L.R. da Silva; L.S. Lucena; P.C. da Silva; E.K. Lenzi; R.S. Mendes

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
207 KB
Volume
357
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

We analyze a multidimensional nonlinear diffusion equation taking a spatial time dependent diffusion coefficient and external forces into account. We obtain new exact classes of solutions and investigate the transverse effects induced by an external force applied in the system. We also connect the solutions found here with the distribution that emerges from the nonextensive statistics.

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Solution of the nonlinear Boltzmann equation for a mixture of L gases with inelastic processes and time-dependent external forces
โœ M.L. Martiarena; C.R. Garibotti ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 406 KB

We obtain the solution of the nonlinear Boltzmann equation for a spatially homogeneous mixture of L gases, consisting of Maxwell particles. We include removal and self-generation effects in presence of a time-dependent external force. The solution is given as a generalized Laguerre expansion, within