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

Autor:	E. A. Lapshin, N. A. Pshenitsina
Rok vydání:	2007
Předmět:	Cauchy problem Nonlinear system General Mathematics Mathematical analysis Ergodicity Independence (mathematical logic) Translation (geometry) Probability measure Burgers' equation Mathematics
Zdroj:	Moscow University Mathematics Bulletin. 62:242-243
ISSN:	1934-8444 0027-1322
DOI:	10.3103/s0027132207060058
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3aaf56bdce7c7343261b513836085764 https://doi.org/10.3103/s0027132207060058 Zobrazit plný text záznamu Full text from SpringerLink