Introduction:
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Models of phenomena occurring in the natural environment are becoming increasingly complex and hence their practical implementation and numerical treatment must be preceded by careful theoretical analysis so that, at the very least, some basic information about their properties is available. This theoretical and rigorous analysis, which usually relies heavily on sophisticated techniques from functional analysis, enables unrealistic and weak models to be discarded and can often lead to a simplification of calculations involved in good models. The session will be devoted to the development and applications of such techniques to models that arise in any field of natural science and technology, including transport equations coupled with Boltzmann type models, reaction-diffusion equations and fragmentation-coagulation type equations. |
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