A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer. In 1900, the great mathematician David Hilbert presented a list of 23 unsolved ...
We continue our exploration of fluids and fluid dynamics. We continue our exploration of fluids and fluid dynamics. How do fluids act when they're in motion? How does pressure in different places ...
In It Must Be Beautiful: Great Equations of Modern Science, Graham Farmelo assembled and edited essays on 11 great equations of the 20th century. Six are from physics: E = hf, E = mc 2, Einstein’s ...
Maxwell’s equations of electromagnetism and the Euler equation top a poll to find the greatest equations of all time. Robert P Crease discusses the results of his reader survey First among equals – ...
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Seeing the whole from a part: Revealing hidden turbulent structures from limited observations and equations
The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in the planetary atmosphere. This phenomenon is governed by the Navier-Stokes ...
During its teenage and young adult years—what is now referred to as its “classical” period—physics made a lot of mistakes. In the old physics, mass and energy were separately conserved; particles’ ...
Now, artificial intelligence (AI) tools are providing powerful new ways to address long-standing problems in physics. “The ...
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