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Full Description
Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.
Contents
Process and formation gels: casacade formalism applied to the network formation in organic/inorganic hybrid gel films; thermoreversible and irreversible physical gels from biopolymers; reversable (physical) gelation in the solutions of associating polyelectrolytes; association in polyelectrolyte-catanionic vesicle systems - from phase behaviour to microstructure; metal nanoparticle formation in polyelectrolyte gels with regular microstructures. Structure and behaviours of gels: structure and properties of polyampholyte gels; polyelectrolyte/ionomer behaviour of polymer gels; electrical behaviours and mechanical responses of polyelectrolyte gels; synchrotron X-ray study on nanostructures of polyelectrolyte gel/surfactant complexes; structural and dynamic behaviour of polymer gels as eludicated by NMR spectroscopy; electric and magnetic field sensitive smart polymer gels; rhythmically pulsating gels based on chemomechanical feedback instability.