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InicioTEOCIENCIATeoDerivaMathematicians Coax Fluid Equations Into Nonphysical Solutions

Mathematicians Coax Fluid Equations Into Nonphysical Solutions

For nearly two centuries, all kinds of researchers interested in how fluids flow have turned to the Navier-Stokes equations. But mathematicians still harbor basic questions about them. Foremost among them: How well do the equations adhere to reality?

A new paper set to appear in the Annals of Mathematics has chipped away at that question, proving that a once-promising class of solutions can contain physics-defying contradictions. The advance is another step toward understanding the discrepancy between Navier-Stokes and the physical world —  a mystery that underlies one of math’s most famous open problems.

“It’s very impressive,” said Isabelle Gallagher, a mathematician at the École Normale Supérieure in Paris and Université Paris Cité. “I mean, it’s the first time you really have [these] solutions which are not unique.”

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