Measuring the mixing efficiency in a simple model of stirring: some analytical results and a quantitative study via frequency map analysis

Jazyk:	angličtina
Rok vydání:	2006
Předmět:	applications of chaos Chaos in fluid dynamics Frequency Map Analysis Control of chaos
Zdroj:	Journal of Physics A: Mathematical and Theoretical. 39:299-312
ISSN:	1751-8113
Popis:	We prove the existence of invariant curves for a T-periodic Hamiltonian system which models a fluid stirring in a cylindrical tank, when T is small and the assigned stirring protocol is piecewise constant. Furthermore, using the numerical analysis of the fundamental frequency of Laskar, we investigate numerically the break down of invariant curves as T increases and we give a quantitative estimate of the efficiency of the mixing.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dris___01166::7f462969b0eb58db516d6b2c83ec9e0f https://researchportal.unamur.be/en/publications/6ba3cc00-c1db-47a5-9db5-140fbfbbf7d2 Zobrazit plný text záznamu