The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data
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Publication:1770242
DOI10.1007/s00205-004-0347-0zbMath1072.35144OpenAlexW2036937767MaRDI QIDQ1770242
Matthias Hieber, Okihiro Sawada
Publication date: 14 April 2005
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-004-0347-0
Semigroups of nonlinear operators (47H20) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)
- \(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Weak solutions of Navier-Stokes equations
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Solutions in \(L_ r\) of the Navier-Stokes initial value problem
- Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation
- Two-dimensional Navier-Stokes flow with measures as initial vorticity
- A uniqueness theorem for the unbounded classical solution of the nonstationary Navier-Stokes equations in \(\mathbb{R}^ 3\)
- On time-local solvability of the Navier-Stokes equations in Besov spaces.
- The uniqueness of nondecaying solutions for the Navier-Stokes equations
- On the strong solvability of the Navier-Stokes equations
- Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
- Littlewood-Paley decomposition and Navier-Stokes equations
- An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
- Exact solutions of the Navier-Stokes equations via Leray's scheme
- On the spatial analyticity of solutions of the Navier-Stokes equations
- The initial value problem for the Navier-Stokes equations with data in L\(^p\)
- On analyticity rate estimates of the solutions to the Navier--Stokes equations in Bessel-potential spaces
- 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
- Vorticity and the mathematical theory of incompressible fluid flow
- THE STOKES OPERATOR WITH ROTATION EFFECT IN EXTERIOR DOMAINS
- Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity
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