- 期刊
ON THE SOLUTION OF REACTION-DIFFUSION EOUATIONS WITH DOUBLE DIFFUSlVITY
摘要
In this paper, solution of a pair of Coupled Partial Differential equations is derived. These equations arise in the solution of problems of flow of homogeneous liquids in fissured rocks and heat conduction involving two temperatures. These equations have been considered by Hill and Aifantis, but the technique we use appears to be simpler and more direct, and some new results are derived. Also, discussion about the propagation of initial discontinuities is given and illustrated with graphs of some special cases.
延伸閱讀
- Luo, H. (2012). Regularity of Global Attractor for the Reaction-Diffusion Equation. Abstract and Applied Analysis, 2012(), 858-873-749. https://doi.org/10.1155/2012/917190
- Somathilake, L. W., & Peiris, J. M. J. J. (2005). GLOBAL SOLUTIONS OF A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM WITH DIFFERENT DIFFUSION COEFFICIENTS. Journal of Applied Mathematics, 2005(), 23-36. https://doi.org/10.1155/JAM.2005.23
- Wang, Y., Xiang, Z., & Hu, J. (2012). Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption. Journal of Applied Mathematics, 2012(), 276-292-520. https://doi.org/10.1155/2012/648067
- LAIR, A. V. (2005). A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE FOR A QUASILINEAR REACTION-DIFFUSION SYSTEM. International Journal of Mathematics and Mathematical Sciences, 2005(), 1809-1818-140. https://doi.org/10.1155/IJMMS.2005.1809
- Chen, F. Y. (1984). Convection Effect on Diffusion of the Dilute Macromolecular Solution. Chinese Journal of Physics, 22(1), 55-58. https://www.airitilibrary.com/Article/Detail?DocID=05779073-198404-201304100001-201304100001-55-58