Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains
DOI10.1016/J.CNSNS.2021.106223zbMath1493.65218arXiv2101.03727OpenAlexW3120296170WikidataQ113877805 ScholiaQ113877805MaRDI QIDQ2076252
Shin'ichi Oishi, Xuefeng Liu, Mitsuhiro T. Nakao
Publication date: 16 February 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.03727
Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Computer assisted proofs of proofs-by-exhaustion type (68V05)
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