Partial Regularity of Weak Solutions of the Viscoelastic Navier--Stokes Equations with Damping

DOI10.1137/120875041zbMath1278.35039arXiv1102.1112OpenAlexW1969929913MaRDI QIDQ2840359

Ryan Hynd

Publication date: 18 July 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1112

zbMATH Keywords

scale invarianceCaffarelli-Kohn-Nirenberg theoremOldroyd system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (7)

The energy conservations and lower bounds for possible singular solutions to the 3D incompressible MHD equations ⋮ On regularity criteria of weak solutions to the 3D viscoelastic Navier-Stokes equations with damping ⋮ Forward Self-Similar Solutions to the Viscoelastic Navier--Stokes Equation with Damping ⋮ A type D breakdown of the Navier Stokes equation ind= 3 spatial dimensions ⋮ Forward discretely self-similar solutions of the MHD equations and the viscoelastic Navier-Stokes equations with damping ⋮ Global classical solutions to the elastodynamic equations with damping ⋮ Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson Equation

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