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Citation:

Cipriano, F. "A Stochastic variational principle for Burgers equation and its symmetries." STOCHASTIC ANALYSIS AND MATHEMATICAL PHYSICS II. Ed. R. } {Rebolledo. {TRENDS IN MATHEMATICS}. VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND: Catedra Presiden Analis Cualitat Sistemas Dinam Cuant; Univ Catol, Direcc Invest Postgrado; FONDECYT; ICCTICONICYT Exchange Programme, 2003. {29-46}.

Abstract:

{A stochastic variational principle for the classical Burgers equation is established. A solution of this equation can be considered as the velocity field of a stochastic process which is a minimum of an energy functional. A family of stochastic constants of the motion, determined in terms of the probability distribution of that process, yields the complete list of symmetries of the Burgers equation.}

Notes:

{4th International Workshop on Stochastic Analysis and Mathematical Physics, SANTIAGO, CHILE, JAN 05-11, 2000}