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On the asymptotic
behavior of D-solutions of the
plane steady-state Navier–Stokes equations
Antonio Russo |
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Vol. 246 (2010), No. 1, 253–256
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Abstract |
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We prove that all the derivatives of a D-solution (u,p) of the Navier–Stokes equations in a plane neighborhood of infinity ∁CR0 decay more rapidly than |x|𝜖−1∕2 for every positive 𝜖. Moreover, we show that if the flux of u through the boundary of CR0 is zero, the second derivatives of p are summable over the complement of CR0. |
Keywords
steady-state Navier–Stokes equations, D-solutions, behavior at infinity
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Mathematical Subject Classification 2000
Primary: 76D05
Secondary: 35Q30, 76D03
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Milestones
Received: 22 September 2009
Accepted: 25 September 2009
Published: 1 May 2010
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Authors |
| Antonio Russo | |
| Dipartimento di Matematica Seconda Università degli Studi di Napoli Via Vivaldi, 43 81100 Caserta Italy |
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