48 citations · 200 across the 17 of their papers we have counts for
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Pole solutions in the case of problems of flame front propagation and Saffman-Teylor "finger" formation without surface tension: open problems and possible ways of their solutions
Oleg Kupervasser
Some physical problems as flame front propagation or Laplacian growth without surface tension have nice analytical solutions which replace its complex integro-differential motion e…
Flame front propagation VI: Dynamics and Wrinkling of Radially Propagating Fronts Inferred from Scaling Laws in Channel Geometries
Barak Galanti, Oleg Kupervasser, Zeev Olami +1
Flame Propagation is used as a prototypical example of expanding fronts that wrinkle without limit in radial geometries but reach a simple shape in channel geometry. We show that t…
Flame front propagation III: Random Noise and Pole-Dynamics in Unstable Front Propagation (new version)
Oleg Kupervasser, Zeev Olami, Barak Galanti +1
The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to ad…
Flame front propagation V: Stability Analysis of Flame Fronts: Dynamical Systems Approach in the Complex Plane
Oleg Kupervasser, Zeev Olami, Itamar Procaccia
We consider flame front propagation in channel geometries. The steady state solution in this problem is space dependent, and therefore the linear stability analysis is described by…
Flame front propagation I: The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition
Oleg Kupervasser, Zeev Olami, Itamar Procaccia
The roughening of expanding flame fronts by the accretion of cusp-like singularities is a fascinating example of the interplay between instability, noise and nonlinear dynamics tha…
Flame Front Propagation and Finger Competition and Formation of a Single Saffman-Taylor Finger without Surface Tension - PhD Thesis
Oleg Kupervasser
Problems of interface growth have received much attention recently Such are, for example, the duffusion limited aggregation (DLA), random sequential adsorption (RSA), Laplacian gro…