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arxiv: 1405.3421 · v4 · pith:PUYA26OWnew · submitted 2014-05-14 · 🧮 math.AP

Smooth solutions of the Euler and Navier-Stokes equations from the a posteriori analysis of approximate solutions

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keywords analysisapproximateposteriorisolutionsolutionsapproachboundcauchy
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The main result of [C. Morosi and L. Pizzocchero, Nonlinear Analysis, 2012] is presented in a variant, based on a C^infinity formulation of the Cauchy problem; in this approach, the a posteriori analysis of an approximate solution gives a bound on the Sobolev distance of any order between the exact and the approximate solution.

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