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On Computability of Navier-Stokes’ Equation

  • Shu Ming Sun
  • Ning Zhong
  • Martin Ziegler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9136)

Abstract

We approach the question of whether the Navier-Stokes Equation admits recursive solutions in the sense of Weihrauch’s Type-2 Theory of Effectivity: A suitable encoding (“representation”) is carefully constructed for the space of solenoidal vector fields in the \(L_q\) sense over the \(d\)-dimensional open unit cube with zero boundary condition. This is shown to render both the Helmholtz projection and the semigroup generated by the Stokes operator uniformly computable in the case \(q=2\).

Keywords

Infinitesimal Generator Analytic Semigroup Stokes Operator Rigorous Framework Recursive Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Virginia TechBlacksburgUSA
  2. 2.University of CincinnatiCincinnatiUSA
  3. 3.TU DarmstadtDarmstadtGermany

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