Stochastic Variational Principles for Dissipative Equations with Advected Quantities

Author:

Chen Xin,Cruzeiro Ana BelaORCID,Ratiu Tudor S.

Funder

Innovative Research Group Project of the National Natural Science Foundation of China

National Natural Science Foundation of China

FundaçÃo para a Ciência e a Tecnologia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Reference89 articles.

1. Arnaudon, M., Cruzeiro, A.B.: Lagrangian Navier–Stokes diffusions on manifolds: variational principle and stability. Bull. Sci. Math. 136(8), 857–881 (2012)

2. Arnaudon, M., Chen, X., Cruzeiro, A.B.: Stochastic Euler–Poincaré reduction. J. Math. Phys. 55, 081507 (2014)

3. Arnold, V.I.: Conditions for nonlinear stability of the stationary plane curvilinear flows of an ideal fluid. Dokl. Mat. Nauk. 162(5), 773–777 (1965)

4. Arnold, V.I.: On an a priori estimate in the theory of hydrodynamic stability. Engl. Transl. Am. Math. Soc. Transl. 19, 267–269 (1969)

5. Bismut, J.-M.: Mécanique Aléatoire. Lecture Notes in Mathematics, vol. 866. Springer, Berlin (1981)

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