| Title | Weak-strong uniqueness for measure-valued Solutions |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Brenier Y., De Lellis C., L. Székelyhidi Jr. |
| Journal | Communications in Mathematical Physics |
| Volume | 305 |
| Pagination | 351–361 |
| Publisher | Springer |
| Type of Article | euler and navier-stokes equations |
| ISSN | 0010-3616 |
| Abstract | We prove the weak-strong uniqueness for measure-valued solutions of the incompressible Euler equations. These were introduced by R.DiPerna and A.Majda in their landmark paper [10], where in particular global existence to any L2 initial data was proven. Whether measure-valued solutions agree with classical solutions if the latter exist has apparently remained open. We also show that DiPerna's measure-valued solutions to systems of con- servation laws have the weak-strong uniqueness property. |
| Notes | Comm. Math. Phys. 305 (2011), 351-361 |
| URL | http://www.springerlink.com/content/h75405107k056601/ |
| DOI | 10.1007/s00220-011-1267-0 |
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