On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results
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Publication:467160
DOI10.1007/s11565-014-0210-7zbMath1304.35484OpenAlexW2054144593MaRDI QIDQ467160
Publication date: 3 November 2014
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-014-0210-7
weak solutionNavier-Stokes equationsuniquenessinitial valuesstrong solutionblow upscaling invariant spaceenergy (in-)equalityone-sided regularity
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)
Related Items (7)
Remarks on the energy equality for the 3D Navier-Stokes equations ⋮ On the energy equality for the 3D Navier-Stokes equations ⋮ A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations ⋮ On the uniqueness of a suitable weak solution to the Navier-Stokes Cauchy problem ⋮ On the energy equality for solutions to Newtonian and non-Newtonian fluids ⋮ Remarks on the energy equality for the non-Newtonian fluids ⋮ On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces
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