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 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) ...

These equations generalise the Cauchy–Riemann system by allowing controlled distortion via a measurable coefficient, thereby facilitating the study of quasiconformal and quasiregular mappings.

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 ...

Concurrently, analytical investigations into confined fluid systems—such as hard disk models in narrow channels—have provided new expressions for third and fourth virial coefficients, offering ...