Professor
Department of Mathematics
Tufts University
United States of America
In 1932, the great British fluid dynamicist Sir Horace Lamb wrote, "If I should come to heaven, then I want clarity about two things: quantum electrodynamics and turbulence. Where concerns the first desire, I am rather confident." Seventeen years later, we had a general theory of quantum electrodynamics; more than seventy years later, we still have no general theory of turbulence. Turbulence is difficult to understand because fluids are governed by nonlinear partial differential equations. The equations themselves have been known since the nineteenth century, but fundamental questions about them, such as the existence and uniqueness of their solutions, are still open. Numerical methods and computer simulation can shed some light on the behavior of solutions in the turbulent regime, but these require substantial supercomputer resources because of the coexistence of motion on many disparate length and time scales.
Theoretical and computational fluid dynamics, quantum computation