Well-posedness and ill-posedness of the stationary Navier–Stokes equations in toroidal Besov spaces
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Publication:5234006
DOI10.1088/1361-6544/ab22d3zbMath1433.35244OpenAlexW2972217256MaRDI QIDQ5234006
Publication date: 9 September 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab22d3
Critical exponents in context of PDEs (35B33) Ill-posed problems for PDEs (35R25) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)
Related Items (4)
The two‐dimensional stationary Navier–Stokes equations in toroidal Besov spaces ⋮ Long time dynamics of Nernst-Planck-Navier-Stokes systems ⋮ Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity ⋮ Stability of singular solutions to the Navier-Stokes system
Cites Work
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- \(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\)
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
- On stationary solutions of the Navier-Stokes equations as limits of nonstationary solutions
- Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori
- Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity
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