Abstract
In this paper, we study the statistical characteristics of the Riemann wave and the integral of it. Such problems arise in the physics of fronts’ propagation, in particular, during the wave run-up on the shore, a flame front, and phase surfaces. Using the relation of the Lagrangian and Eulerian statistical descriptions, we obtained general expressions for the probability distributions of the front velocity and its displacement. We show that the joint probabilistic distribution of displacement, velocity, and acceleration at the input of a nonlinear medium are necessary to find the probability distribution of displacement. Based on the idea of probability as the time the signal spent in a certain interval, the characteristics of the waves after their breaking were calculated.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
