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This Ph.D. thesis aims to obtain and to develop some mathematical models to understand some aspects of the dynamics of heterogeneous granular fluids. More precisely, the expected result is to develop three models, one where the dynamics of the granular material is modeled using a mixture theory a...


This thesis studies the time-independent solutions of systems of partial differential equations given by reaction-diffusion models. The study is motivated by two different contexts: non-linear optics and cellular biology. In the context of optics, we study the Eckhaus instability observed in the ...


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