Aims and scope
Nonlinear diffusion equations can be used to describe processes and behaviours in fields as diverse as biology, heat transfer, ground water modelling, industrial processes, chemical reactions, and mathematical physics. This workshop will focus on two aspects: first, the use of nonlinear equations in modelling various physical problems, in particular in the areas of ground water flow, math biology, and math physics; and second, the use of symmetry techniques to find useful analytic solutions to these types of models.
Entropy Special Issue, “Applications of Nonlinear Diffusion Equations”
http://www.mdpi.com/journal/entropy
Guest editors Philip Broadbridge and Roman Cherniha
Applications of nonlinear diffusion equations are invariably irreversible processes. Irreversibility may be signified by some time-monotonic functional or “entropy” on the space of state functions. We welcome contributions that have some reference to real irreversible systems whose state functions involve dependence on both space and time variables or their analogues (e.g. age of individuals). Such systems may include, but are not limited to heat transfer, solute transport, mixing processes, evolution of solid surfaces and crystal defects, cell migration, population dynamics, disease transmission and population genetics. “Nonlinear” is a key word but linear models may be used if the effects of nonlinear extensions are also discussed. Within this field, analysis of the properties of practical nonlinear diffusion equations, and approaches to their solution, remain important.
