194 citations · 272 across the 7 of their papers we have counts for
7 papers
Analytic structure of solutions of the one-dimensional Burgers equation with modified dissipation
Walter Pauls, Samriddhi Sankar Ray
We use the one-dimensional Burgers equation to illustrate the effect of replacing the standard Laplacian dissipation term by a more general function of the Laplacian -- of which hy…
Nelkin scaling for the Burgers equation and the role of high-precision calculations
Sagar Chakraborty, Uriel Frisch, Walter Pauls +1
Nelkin scaling, the scaling of moments of velocity gradients in terms of the Reynolds number, is an alternative way of obtaining inertial-range information. It is shown numerically…
On complex singularities of the 2D Euler equation at short times
W. Pauls
We present a study of complex singularities of a two-parameter family of solutions for the two-dimensional Euler equation with periodic boundary conditions and initial conditions F…
Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
Uriel Frisch, Susan Kurien, Rahul Pandit +4
It is shown that the use of a high power of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid \textit{conservative} d…
Genesis of d'Alembert's paradox and analytical elaboration of the drag problem
Gerard Grimberg, Walter Pauls, Uriel Frisch
We show that the issue of the drag exerted by an incompressible fluid on a body in uniform motion has played a major role in the early development of fluid dynamics. In 1745 Euler…
A Borel transform method for locating singularities of Taylor and Fourier series
W. Pauls, U. Frisch
Given a Taylor series with a finite radius of convergence, its Borel transform defines an entire function. A theorem of Pólya relates the large d istance behavior of the Borel tran…