Titlebook: Navier–Stokes Equations on R3 × [0, T]; Frank Stenger,Don Tucker,Gerd Baumann Book 2016 Springer International Publishing AG 2016 Navier-S

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Introduction, PDE, and IE Formulations,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).

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Proof of Convergence of Iteration (1.25),We prove that if the initial vector .. belongs to the Banach space . defined in Definition?., then the iterative sequence of functions defined as in?(.) converges to a unique solution for all . sufficiently small.

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Book 2016operties of solutions of the Navier–Stokes. .partial differential equations on (x, y, z,t) ∈ ?.3. × [0, .T.]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces .A. of analytic functions that housesolutions of this equation, and show that these spaces of

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