Nonlinear PDEs and Scale Dependence

2007/07/05 by Garry Pantelis, Pantelis, Garry
Mathematics · #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AP #math.DS

paper · pdf · doi:10.48550/arxiv.0707.0750

typo corrected

arxiv created 2010/04/24 · arxiv updated 2010/04/27

Abstract

The properties of nonlinear PDEs that generate filtered solutions are explored with particular attention given to the constraints on the residual term. The analysis is carried out for nonlinear PDEs with an emphasis on evolution problems recast on space-time-scale. We examine the role of approximation that allow for the generation of solutions on isolated scale slices.

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