24 citations · 61 across the 7 of their papers we have counts for
7 papers
Final comment to the results of Bustamante et al. on discrete Rossby/drift wave resonant and quasi-resonant triads
A. Kartashov, E. Kartashova
In this final note we demonstrate that the authors of manuscripts arXiv:1210.2036, arXiv:1309.0405 and arXiv:1309.5513 use mathematical notations and notions sometimes in the stand…
Comment to the note "Counting of discrete Rossby/drift wave resonant triads", arXiv:1309.0405
A. Kartashov, E. Kartashova
The main purpose of this note is clarify the following misunderstanding apparent in the note arXiv:1309.0405 by M. Bustamante, U. Hayat, P. Lynch, B. Quinn; [1]: the authors errone…
Discrete exact and quasi-resonances of Rossby/drift waves on $\b$-plane with periodic boundary conditions
A. Kartashov, E. Kartashova
Analysis of resonance clustering in weakly nonlinear dispersive wave systems, also called discrete wave turbulent systems, is a new methodology successfully used in the last years…
Turbulence of capillary waves revisited
Elena Kartashova, Alexey Kartashov
Kinetic regime of capillary wave turbulence is classically regarded in terms of three-wave interactions with the exponent of power energy spectrum being (two-dimensional c…
Laminated Wave Turbulence: Generic Algorithms III
Elena Kartashova, Alexey Kartashov
Model of laminated wave turbulence allows to study statistical and discrete layers of turbulence in the frame of the same model. Statistical layer is described by Zakharov-Kolmogor…
Laminated Wave Turbulence: Generic Algorithms II
Elena Kartashova, Alexey Kartashov
The model of laminated wave turbulence puts forth a novel computational problem - construction of fast algorithms for finding exact solutions of Diophantine equations in integers o…