Bernoulli’s Equation is one of the cornerstones of fluid dynamics, helping us understand how fluids behave when they move through different environments. Developed by the Swiss mathematician ...

Pressure/velocity variation Consider the steady, flow of a constant density fluid in a converging duct, without losses due to friction (figure 14). The flow therefore satisfies all the restrictions ...

We give the exact solution to a Cauchy principal value integral equation on a split interval. This equation arose in the study of the fracture mechanics problem of an interface crack in tension and ...

We prove that the Cauchy problem for a certain sixth order hyperelastic dispersive equation is globally well-posed in a natural space. We also show that there exist solitary wave solutions u (x, y, t) ...