We discuss several model PDEs motivated by the incompressible Navier-Stokes equations. Some of the PDEs appear to be quite simpler, but basic questions about them are still open. In the last section we discuss uniqueness of weak solutions of the 3d incompressible Navier-Stokes in a natural energy class.
@article{JEDP_2017____A8_0, author = {Sverak, Vladimir}, title = {On certain models in the {PDE} theory of fluid flows}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, note = {talk:8}, pages = {1--26}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2017}, doi = {10.5802/jedp.658}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.658/} }
TY - JOUR AU - Sverak, Vladimir TI - On certain models in the PDE theory of fluid flows JO - Journées équations aux dérivées partielles N1 - talk:8 PY - 2017 SP - 1 EP - 26 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.658/ DO - 10.5802/jedp.658 LA - en ID - JEDP_2017____A8_0 ER -
%0 Journal Article %A Sverak, Vladimir %T On certain models in the PDE theory of fluid flows %J Journées équations aux dérivées partielles %Z talk:8 %D 2017 %P 1-26 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.658/ %R 10.5802/jedp.658 %G en %F JEDP_2017____A8_0
Sverak, Vladimir. On certain models in the PDE theory of fluid flows. Journées équations aux dérivées partielles (2017), Talk no. 8, 26 p. doi : 10.5802/jedp.658. http://www.numdam.org/articles/10.5802/jedp.658/
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