Mathematical Modelling of Heat and Mass Transfer Processes

This volume offers an up-to-date review of methods for constructing a specific class of asymptotic solutions, called self-stabilising solutions. This class includes solitons, kinks, travelling waves, etc. Either the solutions for this class or their derivatives are localised in the neighbourhood of a certain curve of surface. The book can be divided into two parts: Chapters I-V contain the methods for constructing asymptotic solutions, and in Chapters VI-VII these are applied to some concrete problems. The Appendix briefly discusses a method for the justification of some asymptotic solutions. This work will be of interest to specialists both in differential equations and in the mathematical modelling of physical and chemical processes.