An approximation of forward self-similar solutions to the 3D Navier-Stokes system
DOI10.3934/dcds.2021059zbMath1473.35403arXiv2008.08715OpenAlexW3138527585MaRDI QIDQ2042907
Francis Hounkpe, Gregory A. Seregin
Publication date: 22 July 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.08715
global convergenceself-similar solutionsincompressible Navier-Stokes systemsingular limitsLamé system
Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear elliptic equations (35J60) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Self-similar solutions to PDEs (35C06)
Cites Work
- Unnamed Item
- Unnamed Item
- Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO
- Forward self-similar solutions of the Navier-Stokes equations in the half space
- Forward discretely self-similar solutions of the Navier-Stokes equations. II
- On a method of approximation of initial boundary value problems for the Navier-Stokes equations
- Leray-Schauder degree: A half century of extensions and applications
- Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in \(L_{\mathrm{loc}}^2(\mathbb{R}^3)\)
- Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
- The Navier-Stokes Problem in the 21st Century
- Classical Fourier Analysis
- On stability of weak Navier–Stokes solutions with largeL3,∞initial data
- Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
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