On a Constrained 2-D Navier-Stokes Equation
The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial intermediate asymptotics which should be explained in terms of the equation itself. Motivated by the separation of the dif...
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| Veröffentlicht in: | Communications in mathematical physics 2009, Vol.290 (2), p.651-677 |
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| container_title | Communications in mathematical physics |
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| creator | Caglioti, E. Pulvirenti, M. Rousset, F. |
| description | The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial intermediate asymptotics which should be explained in terms of the equation itself. Motivated by the separation of the different time scales observed in the dynamics of the Navier-Stokes equation, we study the well-posedness and asymptotic behaviour of a constrained equation which neglects the variation of the energy and moment of inertia. |
| doi_str_mv | 10.1007/s00220-008-0720-1 |
| format | Article |
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Nevertheless the appearence of coherent structures suggests non-trivial intermediate asymptotics which should be explained in terms of the equation itself. 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Math. Phys</addtitle><description>The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial intermediate asymptotics which should be explained in terms of the equation itself. 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| ispartof | Communications in mathematical physics, 2009, Vol.290 (2), p.651-677 |
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| source | SpringerNature Journals |
| subjects | Analysis of PDEs Classical and Quantum Gravitation Complex Systems Mathematical and Computational Physics Mathematical Physics Mathematics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical |
| title | On a Constrained 2-D Navier-Stokes Equation |
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