Toyohiko Aiki - Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1-1, Gifu, 501-1193, Japan (email)
This issue is focussed on the modeling, analysis and
simulation of fast reaction-slow transport scenarios as well as
corresponding fast-reaction limits. Within this framework, internal
sharp and thin reaction layers form and travel through the spatial
domain often producing unexpected effects. Such situations appear
in a variety of significant applications; for example flame propagation in combustion, segregation and aggregation of biological
individuals, chemical attack on reactive porous materials (such as
concrete or natural stone), dissolution and precipitation reactions in
tumor growth, grain boundary motion,
and temperature-induced phase transitions in shape-memory alloys represent typical cases in which the fast process is localized within a a priori unknown internal active layer.
Published: February 2011.