Jim Denier receives funding from the Australian Research Council. MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in ...
The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...
SIAM Journal on Applied Mathematics, Vol. 35, No. 1 (Jul., 1978), pp. 97-116 (20 pages) The development of velocity profiles in the inlet region of channels or pipes is a classic problem of laminar ...
A new finite difference scheme is presented for solving two-dimensional, transient, incompressible Navier-Stokes problems on a bounded simply-connected region for which there exists a C 2 invertible ...
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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 ...
A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow. In Dr. Seuss’s book “The Cat in ...
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