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Well-posedness and regularity of generalized Navier-Stokes equations in some critical Q-spaces |
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| Authors: | Pengtao Li Zhichun Zhai |
| Institution: | a Department of Mathematics, Faculty of Science and Technology, University of Macau, Av. Padre Tomás Pereira, Taipa, Macau, China b Department of Mathematical and Statistical Sciences, University of Alberta, 632 Central Academic Building, Edmonton, AB T6G 2G1 Canada |
| Abstract: | We study the well-posedness and regularity of the generalized Navier-Stokes equations with initial data in a new critical space  ,  , which is larger than some known critical homogeneous Besov spaces. Here  is a space defined as the set of all measurable functions with |
| Keywords: | Navier-Stokes equations Well-posedness Regularity Carleson measures Tent spaces Duality Atomic decomposition _method=retrieve& _eid=1-s2 0-S0022123610002880& _mathId=si10 gif& _pii=S0022123610002880& _issn=00221236& _acct=C000053510& _version=1& _userid=1524097& md5=5b40d3628a7f972698f1ff5e36d19447')" style="cursor:pointer |
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