2000 character limit reached
On the kinetic equation in Zakharov's wave turbulence theory for capillary waves (1702.03892v2)
Published 13 Feb 2017 in math.AP, math-ph, math.MP, and physics.flu-dyn
Abstract: The wave turbulence equation is an effective kinetic equation that describes the dynamics of wave spectrum in weakly nonlinear and dispersive media. Such a kinetic model has been derived by physicists in the sixties, 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 a result, to the wave turbulence equation for capillary waves.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.