%0 Conference Paper %1 lassalle2016symmetries %A Lassalle, Rémi %A Cruzeiro, Ana Bela %B From Particle Systems to Partial Differential Equations III %C Cham %D 2016 %E Goncalves, Patrícia %E Soares, Ana Jacinta %I Springer %K 35q30-navier-stokes-equations 60h15-stochastic-analysis-pdes 93e20-optimal-stochastic-control 60h30-applications-of-stochastic-analysis %P 185--194 %R 10.1007/978-3-319-32144-8_9 %T Symmetries and Martingales in a Stochastic Model for the Navier-Stokes Equation %U https://link.springer.com/chapter/10.1007%2F978-3-319-32144-8_9 %V 162 %X A stochastic description of solutions of the Navier-Stokes equation is investigated. These solutions are represented by laws of finite dimensional semi-martingales and characterized by a weak Euler-Lagrange condition. A least action principle, related to the relative entropy, is provided. Within this stochastic framework, by assuming further symmetries, the corresponding invariances are expressed by martingales, stemming from a weak Noether's theorem. %@ 978-3-319-32144-8

@inproceedings{lassalle2016symmetries, abstract = {A stochastic description of solutions of the Navier-Stokes equation is investigated. These solutions are represented by laws of finite dimensional semi-martingales and characterized by a weak Euler-Lagrange condition. A least action principle, related to the relative entropy, is provided. Within this stochastic framework, by assuming further symmetries, the corresponding invariances are expressed by martingales, stemming from a weak Noether's theorem.}, added-at = {2021-03-03T02:05:18.000+0100}, address = {Cham}, author = {Lassalle, R{\'e}mi and Cruzeiro, Ana Bela}, biburl = {https://www.bibsonomy.org/bibtex/20f2fb547e925198042792134c163ad42/gdmcbain}, booktitle = {From Particle Systems to Partial Differential Equations III}, doi = {10.1007/978-3-319-32144-8_9}, editor = {Gon{\c{c}}alves, Patr{\'i}cia and Soares, Ana Jacinta}, eventdate = {December 2014}, eventtitle = {Particle Systems and PDEs III}, interhash = {b3129e45eac2503a991f1b4bcddd8ef4}, intrahash = {0f2fb547e925198042792134c163ad42}, isbn = {978-3-319-32144-8}, keywords = {35q30-navier-stokes-equations 60h15-stochastic-analysis-pdes 93e20-optimal-stochastic-control 60h30-applications-of-stochastic-analysis}, pages = {185--194}, publisher = {Springer}, series = {Springer Proceedings in Mathematics & Statistics}, timestamp = {2022-03-17T05:20:01.000+0100}, title = {Symmetries and Martingales in a Stochastic Model for the Navier-Stokes Equation}, url = {https://link.springer.com/chapter/10.1007%2F978-3-319-32144-8_9}, venue = {Braga, Portugal}, volume = 162, year = 2016 }