3 papers
nlin.CD2000
Universal Multifractal Properties of the Small Scale Intermittency in Anisotropic and Inhomogeneous Turbulence
M. Alber, S. Lueck, C. Renner +1
The notion of self-similar energy cascades and multifractality has long since been connected with fully developed, homogeneous and isotropic turbulence. We introduce a number of am…
nlin.SI2000
On billiard weak solutions of nonlinear PDE's and Toda flows
Mark Alber, Roberto Camassa, Michael Gekhtman
A certain class of partial differential equations possesses singular solutions having discontinuous first derivatives ("peakons"). The time evolution of peaks of such solutions is…
nlin.PS2000
On Peakon Solutions of the Shallow Water Equation
Mark S. Alber, Charles A. Miller
A new parameterization of the Jacobi inversion problem is used along with the dynamics of the peaks to describe finite time interaction of peakon weak solutions of the Shallow Wate…