We consider a problem of stabilization of the Euler-Bernoulli beam. The beam is controlled at one end (using position and moment actuators) and has the ldquoslidingrdquo boundary condition at the ...

Bernoulli equations are nonlinear matrix equations arising in control and systems theory in the context of stabilization of linear systems, coprime factorization of rational matrix-valued functions, ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.

One concern is that the simplified Bernoulli equation, the 4v2 formula used to convert velocity to pressure gradient, assumes a narrow orifice between the two chambers whereas with severe TR, the area ...

He later expanded his list to include 23 problems, and their influence on mathematical thought over the past 125 years cannot be overstated. Hilbert’s sixth problem was one of the loftiest.

Bernoulli's equation is a simple but incredibly important equation in physics and engineering that can help us understand a lot about the flow of fluids in the world around us. It essentially ...

The most famous corollary of Bernoulli’s equation is that at equal altitudes, the higher the velocity, the lower the pressure. There is a very serious problem in Bernoulli’s equation, namely: what ...

… The beauty of symbolic equations is that it's much easier to see these general patterns when you can see a problem at a glance. Compare this: Take the square of the unknown number, ...

Discover how the Bernoulli equation empowers engineering managers to analyze and optimize fluid systems for better design and operation.

In this paper, we expose and compare two different physical interpretations of Bernoulli’s equation. One interpretation is that pressure must be a type of potential energy density, and Bernoulli’s ...