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THE NAVIER-STOKES FLOW FOR GLOBALLY LIPSCHITZ CONTINUOUS INITIAL DATA(Kyoto Conference on the Navier-Stokes Equations and their Applications)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hieber, Matthias Rhandi, Abdelaziz Sawada, Okihiro |
| Copyright Year | 2007 |
| Abstract | Consider the Cauchy problem of the incompressible Navier‐Stokes equations with initial velocity U_{0} of the form U_{0}(x) :=u_{0}(x)-f(x) , where f is a Lipschitz function and u_{0}\in L_{ $\sigma$}^{p} It is shown that under these assumptions the equations of Navier‐Stokes admit a unique local in time mild solution. |
| Starting Page | 159 |
| Ending Page | 165 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| Volume Number | 1 |
| Alternate Webpage(s) | http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B1/pdf/B01_010.pdf |
| Alternate Webpage(s) | https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/174047/1/B01_010.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |