ON A CERTAIN SYSTEM OF STOCHASTIC EQUATIONS WITH MEAN DERIVATIVES, CONNECTED WITH HYDRODYNAMICS

Autor:	YURI GLIKLIKH
Rok vydání:	2022
Předmět:	backward mean derivatives symmetric mean derivatives at n- dimensional torus viscous hydrodynamics the Burgers equation continuity-type equation
DOI:	10.5281/zenodo.7050018
Popis:	We study a system of two special equations with mean derivativeson the group of Sobolev diffeomorphisms of the at n-dimensional torus thatleads to a ow on the torus, described by a system of two equations, oneof which is the Burgers equation, and the second one is a continuity-typeequation. We prove the existence of solution theorem and interpret this flowas a flow of a special viscous fluid.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24b30acd354b0b129255b8764ecacc18 Zobrazit plný text záznamu