Scientific ontologies

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.