Paper Info
Title
On the Kinetic Equation in Zakharov's Wave Turbulence Theory for Capillary Waves.
Abstract
The wave turbulence equation is an effective kinetic equation that describes the dynamics of wave spectra in weakly nonlinear and dispersive media. Such a kinetic model was derived by physicists in the 1960s, though the well-posedness theory remains open due to the complexity of resonant interaction kernels. In this paper, we provide a global unique radial strong solution the first such result to the wave turbulence equation for capillary waves.
Year
DOI
Venue
2018
10.1137/17M1125042
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
weak turbulence theory,capillary waves,water waves system,fluids mechanics,Zakharov's wave turbulence theory,kinetic wave equations,quantum Boltzmann
Nonlinear system,Mathematical analysis,Turbulence,Spectral line,Mechanics,Kinetic model,S-wave,Kinetic equations,Capillary wave,Mathematics
Journal
Volume
Issue
ISSN
50
2
0036-1410
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Toan T. Nguyen112.04
Minh-Binh Tran231.40