On the regularity for solutions of the micropolar fluid equations

DOI10.4171/RSMUP/122-3zbMath1372.35246MaRDI QIDQ2655861

Marko A. Rojas-Medar, Elva E. Ortega-Torres

Publication date: 26 January 2010

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108774

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (17)

A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations ⋮ Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations ⋮ Exponential stability for magneto-micropolar fluids ⋮ A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ A global regularity result for the 2D generalized magneto-micropolar equations ⋮ ON THE REGULARITY CRITERION ON ONE VELOCITY COMPONENT FOR THE MICROPOLAR FLUID EQUATIONS ⋮ Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of \(\mathbb R^{3}\) ⋮ Logarithmically improved blow up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Regularity criterion for weak solution to the 3D micropolar fluid equations ⋮ Global existence and decay estimate of solutions to magneto-micropolar fluid equations ⋮ Exact controllability of Galerkin’s approximations of micropolar fluids ⋮ A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity ⋮ A weak-Lp Prodi-Serrin type regularity criterion for the micropolar fluid equations ⋮ Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space ⋮ Pointwise Error Estimate for Spectral Galerkin Approximations of Micropolar Equations ⋮ Global strong solutions for the incompressible micropolar fluids equations ⋮ Regularity of weak solutions to the 3D magneto-micropolar equations in Besov spaces

Cites Work

• On the interior regularity of weak solutions of the Navier-Stokes equations
• Weak solutions of Navier-Stokes equations
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• Micropolar fluids. Theory and applications
• Magneto-micropolar fluid motion: Existence of weak solutions
• A counter-example concerning the pressure in the Navier-Stokes equations, as \(t\to 0^ +\)
• A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• Smoothness of weak solutions of the Navier-Stokes equations
• A sufficient condition for smoothness of solutions of Navier-Stokes equations
• Existence of global strong solution to the micropolar fluid system in a bounded domain
• Regularity criterion in terms of pressure for the Navier-Stokes equations
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