The main object of this thesis is to provide a comprehensive numerical tool forthe three-dimensional simulation of sedimentary basins [94]. Sedimentary basins, in particular salt basins, are the best places to find oil, natural gas and to store dangerous nuclear waste material. The low permeability of salt guarantees low water leakage which is the main concern for the safety of a nuclear waste …
The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have “intermediate” truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the “false” and the “true”). The classical logic (propositional, for simplicity) is based on the fact that every statement is true or false: thi…
Quasiconvex analysis has important applications in several optimization problems in science, economics and in finance, where convexity may be lost due to absence of global risk aversion, as for example in Prospect Theory.
Adams’inequality [2] in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in Rn and some applications to existence and multiplicity results for elliptic and biharmonic problems involving nonlinearities with exponential growth.
Mathematics Education; Learning; Teaching
Bioprocess optimization is important in order to make the bioproduction process more efficient and economic. The conventional optimization methods are costly and less efficient. On the other hand, modeling and computer simulation can reveal the mechanisms behind the phenomenon to some extent, to assist the deep analysis and efficient optimization of bioprocesses. In this chapter, modeling and c…
Mathematics Education; Learning; Statistics
Computational Fluid Dynamics Simulations: an Approach to Evaluate Cardiovascular Dysfunction
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