Existence of regular solutions for a certain type of non-Newtonian fluids
From MaRDI portal
Publication:2319660
DOI10.1007/s00033-019-1167-2zbMath1418.76009arXiv1705.02805OpenAlexW2956339378MaRDI QIDQ2319660
Hwa Kil Kim, Kyungkeun Kang, Jae-Myoung Kim
Publication date: 20 August 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.02805
Non-Newtonian fluids (76A05) Regularity of solutions in optimal control (49N60) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (4)
Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three ⋮ Local existence of solutions to the non-resistive 3D MHD equations with power-law type ⋮ Existence, uniqueness and decay rates of a certain type of 3D Hall-MHD equations with power-law type ⋮ On the existence of unique global-in-time solutions and temporal decay rates of solutions to some non-Newtonian incompressible fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary regularity of shear thickening flows
- Cauchy problem for the non-Newtonian viscous incompressible fluid
- Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary
- Stability of the rest state of a viscous incompressible fluid
- Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities
- Existence of strong solutions for incompressible fluids with shear-dependent viscosities
- Existence of strong solutions to the equations of unsteady motion of shear thickening incompressible fluids
- Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions
- Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
- Existence of weak solutions for unsteady motions of generalized Newtonian fluids
- Comments on the validity of a common category of constitutive equations
- On the regularity of weak solutions to parabolic systems in two spatial dimensions
- $L_p$-Theory for a Class of Non-Newtonian Fluids
This page was built for publication: Existence of regular solutions for a certain type of non-Newtonian fluids