55 citations · 515 across the 38 of their papers we have counts for
38 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…
Universal breaking point asymptotic for energy spectrum of Riemann waves in weakly nonlinear non-dispersive media
Elena Kartashova, Efim Pelinovsky
In this Letter we study the form of the energy spectrum of Riemann waves in weakly nonlinear non-dispersive media. For quadratic and cubic nonlinearity we demonstrate that the defo…
Time scales and structures of wave interaction
Elena Kartashova
In this paper we give a general account of Wave Interaction Theory which by now consists of two parts: kinetic wave turbulence theory (WTT), using a statistical description of wave…
A constructive method for computing generalized Manley--Rowe constants of motion
Elena Kartashova, Loredana Tec
The Manley--Rowe constants of motion (MRC) are conservation laws written out for a dynamical system describing the time evolution of the amplitudes in resonant triad. In this paper…