Spectral Submanifolds of the Navier–Stokes Equations
SIAM Journal on Applied Dynamical SystemsSpectral subspaces of a linear dynamical system identify a large class of invariant structures that highlight/isolate the dynamics associated to select subsets of the spectrum. The corresponding notion for nonlinear systems is that of spectral submanifolds -- manifolds invariant under the full nonlinear dynamics that are determined by their tangency to
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Stability estimate for strong solutions of the Navier-Stokes system and its applications
Electronic Journal of Differential Equations, 1998 We obtain a `stability estimate' for strong solutions of the Navier-Stokes system, which is an $L^alpha$-version, $1< alpha
Tadashi Kawanago
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Generalizations of incompressible and compressible Navier-Stokes equations to fractional time and multi-fractional space. [PDF]
Sci Rep, 2022 Kavvas ML, Ercan A.
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No Existence and Smoothness of Solution of the Navier-Stokes Equation. [PDF]
Entropy (Basel), 2022 Dou HS.
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Journal of MathematicsIn the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space ...
Min Liu, Juan Song, Tian-Li Li
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Radial Basis Function Finite Difference Method Based on Oseen Iteration for Solving Two-Dimensional Navier-Stokes Equations. [PDF]
Entropy (Basel), 2023 Mu L, Feng X.
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Error estimates and physics informed augmentation of neural networks for thermally coupled incompressible Navier Stokes equations. [PDF]
Comput Mech, 2023 Goraya S, Sobh N, Masud A.
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Dynamic Weight Strategy of Physics-Informed Neural Networks for the 2D Navier-Stokes Equations. [PDF]
Entropy (Basel), 2022 Li S, Feng X.
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Assessment of 4D flow MRI's quality by verifying its Navier-Stokes compatibility. [PDF]
Int J Numer Method Biomed Eng, 2022 Garay J +6 more
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