𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear diffusion-reaction problems with time-dependent diffusion coefficient

✍ Scribed by René P. Sperb

Publisher
Springer
Year
1979
Tongue
English
Weight
497 KB
Volume
30
Category
Article
ISSN
0044-2275

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Multidimensional nonlinear diffusion equ
Multidimensional nonlinear diffusion equation: Spatial time dependent diffusion coefficient and external forces
✍ L.R. da Silva; L.S. Lucena; P.C. da Silva; E.K. Lenzi; R.S. Mendes 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 207 KB

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 s

On 1D diffusion problems with a gradient
On 1D diffusion problems with a gradient-dependent diffusion coefficient
✍ S.C. Jardin; G. Bateman; G.W. Hammett; L.P. Ku 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 843 KB

In solving the 1D (flux surface averaged) transport equations for the temperatures, magnetic fields, and densities in the ''evolving equilibrium" description of a tokamak [1], one increasingly encounters highly nonlinear thermal conductivity and diffusivity functions, such as GLF23 , that have a str

A dictionary approach to reaction-diffus
A dictionary approach to reaction-diffusion systems with nonlinear diffusion coefficients
✍ G.A. Sod 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 652 KB

A numerical method is introduced to solve a general class of time-dependent and steady-state nonlinear reaction diffusion equations, where the diffusion coefficient is a function of the dependent variables, arising in the biological and physical sciences. The method represents an extension of the au