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A Partial Differential Equation (PDE), is a formula that describes through time and space, the behavior of many physical phenomenon from our universe. Among the best-known PDEs, we find the Schrodinger's equation in quantum physics, the Maxwell's equations in electromagnetism, and the famous Navier/Stokes equations in fluids mechanics. A reccurent question about these equations, is the way to solve them. Usually, their approximative solutions are obtained thanks to the use of calculus software. These solutions are called numerical. However, it seems better to get their whole analytic…mehr

Produktbeschreibung
A Partial Differential Equation (PDE), is a formula that describes through time and space, the behavior of many physical phenomenon from our universe. Among the best-known PDEs, we find the Schrodinger's equation in quantum physics, the Maxwell's equations in electromagnetism, and the famous Navier/Stokes equations in fluids mechanics. A reccurent question about these equations, is the way to solve them. Usually, their approximative solutions are obtained thanks to the use of calculus software. These solutions are called numerical. However, it seems better to get their whole analytic solutions.The possibility to solve our equations in a pure analytic way, has been in our book, to understand the time as being a function of the space coordinates. Thanks to this view of mind, we have been able, to turn our PDEs into pseudo time-ODEs (Ordinary Differential Equations), making them more easy to solve.A surprising and unexpected effect of using this time/space relation, has been the possibility to write a new relativity theory, inside which we find some surprising results, as a more complete statement of the famous energy / mass law.
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Autorenporträt
L'auteur est titulaire d'un MASTER RECHERCHE MECANIQUE spécialité FLUIDES . Ancien élève de l'Université des Sciences et des Technologies de Lille ( USTL , LILLE 1 : promotion 2007 ), il est ectuellement enseignant en mathématiques pour le ministère de l'éducation nationale , dans le département du Nord , en FRANCE.