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Global existence and uniqueness of solutions for the equations of third grade fluids |
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| Authors: | Valentina Busuioc |
| Affiliation: | a Section de Mathématiques, Institut Bernoulli, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland b IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France |
| Abstract: | We consider the equations governing the motion of third grade fluids in  . We show global existence of solutions without any smallness assumption, by assuming only that the initial velocity belongs to the Sobolev space H2. The uniqueness of such solutions is also proven in dimension two. |
| Keywords: | Non-Newtonian fluid Existence and uniqueness of solutions |
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