Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. Mathematicians have suspected for years that under specific ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

Mathematicians from Chicago and Michigan solve Hilbert's sixth problem, which relates mechanics, thermodynamics, and fluid ...

The standard approach to the dynamics of objects in continuum mechanics, which is known to work very well, is to invoke the Euler equation formulated by Leonhard Euler (1707–1783). At first ...

Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as "the most beautiful equation." It is a special case of a foundational ...

The cousins of the Navier-Stokes equation that are used to describe more complex fluids are also nonlinear, as is a simplified form, the Euler equation, that omits the effects of friction.

Euler’s number ... is being dampened as it bounces follows a similar equation. “If we let a block [with a spring] oscillate in some fluid, it will oscillate back and forth with a slightly ...

Perhaps the oldest and most prominent of these equations, formulated by Leonhard Euler more than 250 years ago, describe the flow of an ideal, incompressible fluid: a fluid with no viscosity ...

Benjamin Pierce, a Harvard mathematician, after proving Euler’s equation, e ip = –1, in a 19th-century lecture. Sunday, April 15, is the 300th birthday of Leonhard Euler (pronounced “oiler ...