Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains
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Publication:258713
DOI10.3934/dcdss.2016.9.157zbMath1342.35226OpenAlexW2525173289MaRDI QIDQ258713
Paul Felix Riechwald, Reinhard Farwig
Publication date: 10 March 2016
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2016.9.157
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
Related Items (4)
On regularity of weak solutions for the Navier–Stokes equations in general domains ⋮ Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains ⋮ On the relation between very weak and Leray–Hopf solutions to Navier–Stokes equations ⋮ Very weak solutions to the Navier-Stokes system in general unbounded domains
Cites Work
- Interpolation of sum and intersection spaces of \(L^q\)-type and applications to the Stokes problem in general unbounded domains
- Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
- On the Helmholtz decomposition in general unbounded domains
- \(H^{\infty}\)-calculus for the Stokes operator on unbounded domains
- On the Stokes operator in general unbounded domains
- Extensions of Serrin's uniqueness and regularity conditions for the Navier-Stokes equations
- Very weak solutions to the Navier-Stokes system in general unbounded domains
- An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains
- A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
- Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries
- REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
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