Existence and properties of a static solution to a nonhomogeneous Burgers equation.

Autor: Lapshin, E., Pshenitsina, N.
Zdroj: Moscow University Mathematics Bulletin; Dec2007, Vol. 62 Issue 6, p242-243, 2p
Abstrakt: A problem of expansion of nonlinear waves in a heterogeneous media is considered, this problem is described by a Burgers equation with a stochastic right-hand side. Existence of a statistical solution is proved and sufficient conditions are obtained for such properties as uniformity (independence on translation) of the probability measure of the solution, stationarity and ergodicity. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index