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 / C. Morosi, L. Pizzocchero. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 113(2015), pp. 298-308. [10.1016/j.na.2014.10.005]
Smooth solutions of the Euler and Navier-Stokes equations from the a posteriori analysis of approximate solutions
L. PizzoccheroUltimo
2015
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.
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