Introduction, PDE, and IE Formulations

Frank Stenger, Don Tucker and Gerd Baumann
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Frank Stenger: University of Utah, School of Computing
Don Tucker: University of Utah, Department of Mathematics
Gerd Baumann: German University in Cairo, Department of Mathematics

Chapter Chapter 1 in Navier–Stokes Equations on R3 × [0, T], 2016, pp 1-8 from Springer

Abstract: Abstract In this chapter we first state the Navier–Stokes (N–S) problem as a system of nonlinear partial differential equations (PDE) along with initial conditions. We then convert this system of PDE to a system of integral equations (IE).

Keywords: Nonlinear Partial Differential Equations; Gauss-Seidel Type Method; Convergent Iterative Solution; Three-dimensional Delta Function; Divergence-free Velocity Field (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-27526-0_1

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DOI: 10.1007/978-3-319-27526-0_1

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