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

Published 11 years agoVersion 4arXiv:1405.3421

Authors

Carlo Morosi, Livio Pizzocchero

Categories

math.AP

Abstract

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.

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

11 years ago
v4
2 authors

Categories

math.AP

Abstract

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.

Authors

Carlo Morosi, Livio Pizzocchero

arXiv ID: 1405.3421
Published May 14, 2014

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