Abstract
A statistical analysis is made of random nonlinear plane waves in a gas with polytropic exponent γ = 3 by reduction of the original problem to an auxiliary Cauchy boundary-value problem for a system of stochastic ordinary differential equations. The probability distribution is found for the velocity and density of the gas in the case when at the initial time the gas density is constant and the velocity field Gaussian and statistically homogeneous. It is noted that there exists a finite time of statistical nonlinear interaction of colliding waves during which the probability distribution of the velocity and density of the gas can be essentially non-Gaussian.
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 call
