Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
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Publication:2181951
DOI10.1007/s00220-020-03695-3zbMath1441.35185arXiv1811.03249OpenAlexW3007609545MaRDI QIDQ2181951
Publication date: 20 May 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03249
Navier-Stokes equations for incompressible viscous fluids (76D05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
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Cites Work
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- The Navier-Stokes equations with initial data in uniformly local \(L^p\) spaces.
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- The Navier-Stokes equations in the critical Morrey-Campanato space
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Corrigendum to: ``Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane
- Local energy weak solutions for the Navier-Stokes equations in the half-space
- Self-similar solutions in weak \(L^ p\)-spaces of the Navier-Stokes equations
- Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
- The initial value problem for the Navier-Stokes equations with data in L\(^p\)
- Vorticity and Incompressible Flow
- Regularity Criteria in Weak <i>L</i><sup>3</sup> for 3D Incompressible Navier-Stokes Equations
- Minimal $L^3$-Initial Data for Potential Navier--Stokes Singularities
- Fourier Analysis and Nonlinear Partial Differential Equations
- Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications
- The Navier-Stokes Problem in the 21st Century
- Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Self-similar solutions for navier-stokes equations in
- Strong solutions of the Navier-Stokes equation in Morrey spaces
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- Well-posedness for the Navier-Stokes equations