We prove the global in time existence of a small solution for the 3D micropolar fluid system in critical Fourier-Herz spaces by using the Fourier localization method and Littlewood-Paley theory.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am40-1-2, author = {Fuyi Xu and Jia Yuan}, title = {Global mild solutions of the micropolar fluid system in critical spaces}, journal = {Applicationes Mathematicae}, volume = {40}, year = {2013}, pages = {21-29}, zbl = {1283.35096}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-1-2} }
Fuyi Xu; Jia Yuan. Global mild solutions of the micropolar fluid system in critical spaces. Applicationes Mathematicae, Tome 40 (2013) pp. 21-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-1-2/