Mathematical Theory of Incompressible Nonviscous Fluids Marchioro CarloPaperback
Fluid dynamics is an ancient science incredibly alive today. Modern technol- ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose,…
Specifikacia Mathematical Theory of Incompressible Nonviscous Fluids Marchioro CarloPaperback
Fluid dynamics is an ancient science incredibly alive today. Modern technol- ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose, quite often, challenging and diffi- cult new mathematical {:: oblems. In this framework, a special role is played by incompressible nonviscous (sometimes called perfect) flows. This is a mathematical model consisting essentially of an evolution equation (the Euler equation) for the velocity field of fluids. Such an equation, which is nothing other than the Newton laws plus some additional structural hypo- theses, was discovered by Euler in 1755, and although it is more than two centuries old, many fundamental questions concerning its solutions are still open. In particular, it is not known whether the solutions, for reasonably general initial conditions, develop singularities in a finite time,
Mathematical Theory of Plasticity