Existence of smooth solutions to the 3D Navier-Stokes equations based on numerical solutions by the Crank-Nicolson finite element method
DOI10.1007/S10092-024-00590-4zbMATH Open1546.35137MaRDI QIDQ6592865
Publication date: 26 August 2024
Published in: Calcolo (Search for Journal in Brave)
Navier-Stokes equationsfinite element methoduniqueness and existencelinearized Crank-Nicolson scheme
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
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