For most fluids, an increase in pressure should lead to a burst of speed, like squeezing ketchup from a tube. But when flowing through porous materials such as soil or sedimentary rock, certain ...

The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations. For nearly two centuries, all kinds of researchers ...

Fluids play a crucial role in industrial processes like cooling, heating, and mixing. Traditionally, most industries would utilize Newtonian fluids—which have a constant viscosity—for such processes.

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 ...

For more than 250 years, mathematicians have been trying to “blow up” some of the most important equations in physics: those that describe how fluids flow. If they succeed, then they will have ...