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This book brings together my published articles so that they are accessible to everyone. These works were carried out between 2012 and 2023. From a mathematical point of view, most phenomena are modeled by partial differential equations. Since the modeling medium is real, the resolution space is generally three-dimensional. However, nature is well done. Thus, several symmetries and physical properties make it possible to reduce to two dimensions. Therefore, most of the PDEs studied are of the second order with two spatial variables and a temporal variable. As is known, they are classified into three categories: elliptical, parabolic and hyperbolic. Most of the published articles are interested in modeling. The topics covered are multiple: medicine, fluid mechanics, hydrogeology, biology and technology.